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42697008864 = 2532148253503
BaseRepresentation
bin100111110000111100…
…001010011011100000
311002012121221210010200
4213300330022123200
51144420413240424
631340441025200
73041033405256
oct476074123340
9132177853120
1042697008864
1117120391794
128337185200
134045a5c6b3
1420d08625d6
15119d67a8c9
hex9f0f0a6e0

42697008864 has 36 divisors (see below), whose sum is σ = 121419619776. Its totient is φ = 14232336192.

The previous prime is 42697008841. The next prime is 42697008911. The reversal of 42697008864 is 46880079624.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42697008864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 74126464 + ... + 74127039.

It is an arithmetic number, because the mean of its divisors is an integer number (3372767216).

Almost surely, 242697008864 is an apocalyptic number.

It is an amenable number.

42697008864 is an abundant number, since it is smaller than the sum of its proper divisors (78722610912).

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

42697008864 is a wasteful number, since it uses less digits than its factorization.

42697008864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148253519 (or 148253508 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 42697008864 in words is "forty-two billion, six hundred ninety-seven million, eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 148253503 296507006 444760509 593014012 889521018 1186028024 1334281527 1779042036 2372056048 2668563054 3558084072 4744112096 5337126108 7116168144 10674252216 14232336288 21348504432 42697008864