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104450765568 = 283374189653
BaseRepresentation
bin110000101000111000…
…0000011001100000000
3100222121100112122210220
41201101300003030000
53202403343444233
6115552314223040
710355246600262
oct1412160031400
9328540478726
10104450765568
114032a809156
12182b0424a80
139b07938436
1450ac1d1b32
152ab4d4eeb3
hex1851c03300

104450765568 has 144 divisors (see below), whose sum is σ = 292471430496. Its totient is φ = 33049313280.

The previous prime is 104450765563. The next prime is 104450765579. The reversal of 104450765568 is 865567054401.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 104450765568.

It is not an unprimeable number, because it can be changed into a prime (104450765561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1120230 + ... + 1209882.

Almost surely, 2104450765568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104450765568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146235715248).

104450765568 is an abundant number, since it is smaller than the sum of its proper divisors (188020664928).

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

104450765568 is an equidigital number, since it uses as much as digits as its factorization.

104450765568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89750 (or 89736 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 51.

The spelling of 104450765568 in words is "one hundred four billion, four hundred fifty million, seven hundred sixty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 41 48 64 74 82 96 111 123 128 148 164 192 222 246 256 296 328 384 444 492 592 656 768 888 984 1184 1312 1517 1776 1968 2368 2624 3034 3552 3936 4551 4736 5248 6068 7104 7872 9102 9472 10496 12136 14208 15744 18204 24272 28416 31488 36408 48544 72816 89653 97088 145632 179306 194176 268959 291264 358612 388352 537918 582528 717224 1075836 1165056 1434448 2151672 2868896 3317161 3675773 4303344 5737792 6634322 7351546 8606688 9951483 11027319 11475584 13268644 14703092 17213376 19902966 22054638 22951168 26537288 29406184 34426752 39805932 44109276 53074576 58812368 68853504 79611864 88218552 106149152 117624736 136003601 159223728 176437104 212298304 235249472 272007202 318447456 352874208 408010803 424596608 470498944 544014404 636894912 705748416 816021606 849193216 940997888 1088028808 1273789824 1411496832 1632043212 2176057616 2547579648 2822993664 3264086424 4352115232 6528172848 8704230464 13056345696 17408460928 26112691392 34816921856 52225382784 104450765568