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121725774016 = 26711171452991
BaseRepresentation
bin111000101011101101…
…0111110100011000000
3102122012021112000101121
41301113122332203000
53443243244232031
6131530421442024
711536323002350
oct1612732764300
9378167460347
10121725774016
1147695031740
121b711870314
13b62b8b9222
145c6a61ab60
15327674b011
hex1c576be8c0

121725774016 has 112 divisors (see below), whose sum is σ = 318867812352. Its totient is φ = 44635852800.

The previous prime is 121725773987. The next prime is 121725774017. The reversal of 121725774016 is 610477527121.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (121725774017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 642720 + ... + 810271.

Almost surely, 2121725774016 is an apocalyptic number.

121725774016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

121725774016 is an abundant number, since it is smaller than the sum of its proper divisors (197142038336).

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

121725774016 is a wasteful number, since it uses less digits than its factorization.

121725774016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453038 (or 1453028 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 43.

The spelling of 121725774016 in words is "one hundred twenty-one billion, seven hundred twenty-five million, seven hundred seventy-four thousand, sixteen".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 64 68 77 88 112 119 136 154 176 187 224 238 272 308 352 374 448 476 544 616 704 748 952 1088 1232 1309 1496 1904 2464 2618 2992 3808 4928 5236 5984 7616 10472 11968 20944 41888 83776 1452991 2905982 5811964 10170937 11623928 15982901 20341874 23247856 24700847 31965802 40683748 46495712 49401694 63931604 81367496 92991424 98803388 111880307 127863208 162734992 172905929 197606776 223760614 255726416 271709317 325469984 345811858 395213552 447521228 511452832 543418634 650939968 691623716 790427104 895042456 1022905664 1086837268 1383247432 1580854208 1790084912 1901965219 2173674536 2766494864 3580169824 3803930438 4347349072 5532989728 7160339648 7607860876 8694698144 11065979456 15215721752 17389396288 30431443504 60862887008 121725774016