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75108340684416 = 2731343349900961
BaseRepresentation
bin10001000100111110000101…
…111101110101011010000000
3100211221021202101211220112010
4101010332011331311122000
534321033340203400131
6423424143444532520
721551253462021654
oct2104760575653200
9324837671756463
1075108340684416
1121a282a52783a6
1285105bb3b1140
1332ba8bc594810
141479397c9aa64
158a3b187e5b46
hex444f85f75680

75108340684416 has 128 divisors (see below), whose sum is σ = 219849772443840. Its totient is φ = 22572810731520.

The previous prime is 75108340684397. The next prime is 75108340684439. The reversal of 75108340684416 is 61448604380157.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×751083406844162 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174735825 + ... + 175165136.

Almost surely, 275108340684416 is an apocalyptic number.

It is an amenable number.

75108340684416 is an abundant number, since it is smaller than the sum of its proper divisors (144741431759424).

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

75108340684416 is a wasteful number, since it uses less digits than its factorization.

75108340684416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349901034 (or 349901022 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 57.

The spelling of 75108340684416 in words is "seventy-five trillion, one hundred eight billion, three hundred forty million, six hundred eighty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 64 78 86 96 104 128 129 156 172 192 208 258 312 344 384 416 516 559 624 688 832 1032 1118 1248 1376 1664 1677 2064 2236 2496 2752 3354 4128 4472 4992 5504 6708 8256 8944 13416 16512 17888 26832 35776 53664 71552 107328 214656 349900961 699801922 1049702883 1399603844 2099405766 2799207688 4198811532 4548712493 5598415376 8397623064 9097424986 11196830752 13646137479 15045741323 16795246128 18194849972 22393661504 27292274958 30091482646 33590492256 36389699944 44787323008 45137223969 54584549916 60182965292 67180984512 72779399888 90274447938 109169099832 120365930584 134361969024 145558799776 180548895876 195594637199 218338199664 240731861168 291117599552 361097791752 391189274398 436676399328 481463722336 582235199104 586783911597 722195583504 782378548796 873352798656 962927444672 1173567823194 1444391167008 1564757097592 1746705597312 1925854889344 2347135646388 2888782334016 3129514195184 4694271292776 5777564668032 6259028390368 9388542585552 12518056780736 18777085171104 25036113561472 37554170342208 75108340684416