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68140900460752 = 2472531639894601
BaseRepresentation
bin11110111111001010010100…
…01010101010100011010000
322221021012120111211221111221
433133211022022222203100
532412410031004221002
6400531255244214424
720232006015212200
oct1737451212524320
9287235514757457
1068140900460752
111a791436975a19
1277861b583a414
132c0387575c942
1412b8074040400
157d277b807c37
hex3df94a2aa8d0

68140900460752 has 60 divisors (see below), whose sum is σ = 156475463133636. Its totient is φ = 28652238451200.

The previous prime is 68140900460669. The next prime is 68140900460771. The reversal of 68140900460752 is 25706400904186.

68140900460752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 61056658143376 + 7084242317376 = 7813876^2 + 2661624^2 .

It is a super-2 number, since 2×681409004607522 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 68140900460752.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 819905749 + ... + 819988852.

Almost surely, 268140900460752 is an apocalyptic number.

It is an amenable number.

68140900460752 is an abundant number, since it is smaller than the sum of its proper divisors (88334562672884).

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

68140900460752 is a wasteful number, since it uses less digits than its factorization.

68140900460752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639894676 (or 1639894663 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 68140900460752 in words is "sixty-eight trillion, one hundred forty billion, nine hundred million, four hundred sixty thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 49 53 56 98 106 112 196 212 371 392 424 742 784 848 1484 2597 2968 5194 5936 10388 20776 41552 1639894601 3279789202 6559578404 11479262207 13119156808 22958524414 26238313616 45917048828 80354835449 86914413853 91834097656 160709670898 173828827706 183668195312 321419341796 347657655412 608400896971 642838683592 695315310824 1216801793942 1285677367184 1390630621648 2433603587884 4258806278797 4867207175768 8517612557594 9734414351536 17035225115188 34070450230376 68140900460752