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75131762680104 = 233137091423238681
BaseRepresentation
bin10001000101010011111010…
…000001101010000100101000
3100212000112012201110120100220
4101011103322001222010220
534321424322221230404
6423443015535330040
721553043055503454
oct2105237201520450
9325015181416326
1075131762680104
1121a37224396429
128515057380920
1332bcb82bc6b70
14147a57a837664
158a4539bb14d9
hex4454fa06a128

75131762680104 has 128 divisors (see below), whose sum is σ = 202706321395200. Its totient is φ = 23068540385280.

The previous prime is 75131762680061. The next prime is 75131762680123. The reversal of 75131762680104 is 40108626713157.

It is a happy 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, 314659644 + ... + 314898324.

It is an arithmetic number, because the mean of its divisors is an integer number (1583643135900).

Almost surely, 275131762680104 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 75131762680104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101353160697600).

75131762680104 is an abundant number, since it is smaller than the sum of its proper divisors (127574558715096).

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

75131762680104 is a wasteful number, since it uses less digits than its factorization.

75131762680104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240835 (or 240831 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 75131762680104 in words is "seventy-five trillion, one hundred thirty-one billion, seven hundred sixty-two million, six hundred eighty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 709 1418 1423 2127 2836 2846 4254 4269 5672 5692 8508 8538 9217 11384 17016 17076 18434 18499 27651 34152 36868 36998 55302 55497 73736 73996 110604 110994 147992 221208 221988 238681 443976 477362 716043 954724 1008907 1432086 1909448 2017814 2864172 3026721 3102853 4035628 5728344 6053442 6205706 8071256 9308559 12106884 12411412 13115791 18617118 24213768 24822824 26231582 37234236 39347373 52463164 74468472 78694746 104926328 157389492 169224829 314778984 338449658 339643063 507674487 676899316 679286126 1015348974 1018929189 1353798632 1358572252 2030697948 2037858378 2199922777 2717144504 4061395896 4075716756 4399845554 4415359819 6599768331 8151433512 8799691108 8830719638 13199536662 13246079457 17599382216 17661439276 26399073324 26492158914 35322878552 52798146648 52984317828 105968635656 240806931667 481613863334 722420795001 963227726668 1444841590002 1926455453336 2889683180004 3130490111671 5779366360008 6260980223342 9391470335013 12521960446684 18782940670026 25043920893368 37565881340052 75131762680104