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74111490514512 = 243311147110602211
BaseRepresentation
bin10000110110011101101101…
…000100001101111001010000
3100201101222201012101102122000
4100312131231010031321100
534203220313032431022
6421342203154114000
721416243552260023
oct2066355504157120
9321358635342560
1074111490514512
1121683563349480
12838b37827b900
1332478b6a4cc89
14144302dcdd1ba
15887c2386c6ac
hex43676d10de50

74111490514512 has 160 divisors (see below), whose sum is σ = 232224066232320. Its totient is φ = 22442758128000.

The previous prime is 74111490514487. The next prime is 74111490514571. The reversal of 74111490514512 is 21541509411147.

74111490514512 is a `hidden beast` number, since 7 + 4 + 1 + 1 + 1 + 490 + 5 + 145 + 12 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1689087 + ... + 12291297.

It is an arithmetic number, because the mean of its divisors is an integer number (1451400413952).

Almost surely, 274111490514512 is an apocalyptic number.

74111490514512 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74111490514512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116112033116160).

74111490514512 is an abundant number, since it is smaller than the sum of its proper divisors (158112575717808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

74111490514512 is a wasteful number, since it uses less digits than its factorization.

74111490514512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10603710 (or 10603698 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

Adding to 74111490514512 its reverse (21541509411147), we get a palindrome (95652999925659).

The spelling of 74111490514512 in words is "seventy-four trillion, one hundred eleven billion, four hundred ninety million, five hundred fourteen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1471 1584 2376 2942 4413 4752 5884 8826 11768 13239 16181 17652 23536 26478 32362 35304 39717 48543 52956 64724 70608 79434 97086 105912 129448 145629 158868 194172 211824 258896 291258 317736 388344 436887 582516 635472 776688 873774 1165032 1747548 2330064 3495096 6990192 10602211 21204422 31806633 42408844 63613266 84817688 95419899 116624321 127226532 169635376 190839798 233248642 254453064 286259697 349872963 381679596 466497284 508906128 572519394 699745926 763359192 932994568 1049618889 1145038788 1399491852 1526718384 1865989136 2099237778 2290077576 2798983704 3148856667 4198475556 4580155152 5597967408 6297713334 8396951112 12595426668 15595852381 16793902224 25190853336 31191704762 46787557143 50381706672 62383409524 93575114286 124766819048 140362671429 171554376191 187150228572 249533638096 280725342858 343108752382 374300457144 421088014287 514663128573 561450685716 686217504764 748600914288 842176028574 1029326257146 1122901371432 1372435009528 1543989385719 1684352057148 2058652514292 2245802742864 2744870019056 3087978771438 3368704114296 4117305028584 4631968157157 6175957542876 6737408228592 8234610057168 9263936314314 12351915085752 18527872628628 24703830171504 37055745257256 74111490514512