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42691626989664 = 25313731190327211
BaseRepresentation
bin10011011010011111010110…
…10000101111100001100000
312121011021112212222021010120
421231033223100233201200
521043424423002132124
6230444132424000240
711664240213003342
oct1155175320574140
9177137485867116
1042691626989664
111266a4655159a4
124955b0b600080
131aa8a596a4083
14a78400229292
154e0791b74d79
hex26d3eb42f860

42691626989664 has 96 divisors (see below), whose sum is σ = 112160685256704. Its totient is φ = 14218460551680.

The previous prime is 42691626989617. The next prime is 42691626989743. The reversal of 42691626989664 is 46698962619624.

42691626989664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 42691626989664.

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 15 ways as a sum of consecutive naturals, for example, 1568897019 + ... + 1568924229.

It is an arithmetic number, because the mean of its divisors is an integer number (1168340471424).

Almost surely, 242691626989664 is an apocalyptic number.

It is an amenable number.

42691626989664 is an abundant number, since it is smaller than the sum of its proper divisors (69469058267040).

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

42691626989664 is a wasteful number, since it uses less digits than its factorization.

42691626989664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40500 (or 40492 counting only the distinct ones).

The product of its digits is 2902376448, while the sum is 78.

The spelling of 42691626989664 in words is "forty-two trillion, six hundred ninety-one billion, six hundred twenty-six million, nine hundred eighty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1373 2746 4119 5492 8238 10984 11903 16476 21968 23806 27211 32952 35709 43936 47612 54422 65904 71418 81633 95224 108844 131808 142836 163266 190448 217688 285672 326532 380896 435376 571344 653064 870752 1142688 1306128 2612256 16342819 32685638 37360703 49028457 65371276 74721406 98056914 112082109 130742552 149442812 196113828 224164218 261485104 298885624 323892533 392227656 448328436 522970208 597771248 647785066 784455312 896656872 971677599 1195542496 1295570132 1568910624 1793313744 1943355198 2591140264 3586627488 3886710396 5182280528 7773420792 10364561056 15546841584 31093683168 444704447809 889408895618 1334113343427 1778817791236 2668226686854 3557635582472 5336453373708 7115271164944 10672906747416 14230542329888 21345813494832 42691626989664