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34543042656 = 2531372926209
BaseRepresentation
bin100000001010111011…
…010000000001100000
310022011100211101022020
4200022323100001200
51031221004331111
623511401141440
72332003006113
oct401273200140
9108140741266
1034543042656
1113716713241
12684048a880
13334665c315
14195995a57a
15d728ba906
hex80aed0060

34543042656 has 48 divisors (see below), whose sum is σ = 90685551600. Its totient is φ = 11513069568.

The previous prime is 34543042631. The next prime is 34543042657. The reversal of 34543042656 is 65624034543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34543042657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1304880 + ... + 1331088.

It is an arithmetic number, because the mean of its divisors is an integer number (1889282325).

Almost surely, 234543042656 is an apocalyptic number.

It is an amenable number.

34543042656 is an abundant number, since it is smaller than the sum of its proper divisors (56142508944).

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

34543042656 is a wasteful number, since it uses less digits than its factorization.

34543042656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39951 (or 39943 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

The spelling of 34543042656 in words is "thirty-four billion, five hundred forty-three million, forty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 13729 26209 27458 41187 52418 54916 78627 82374 104836 109832 157254 164748 209672 219664 314508 329496 419344 439328 629016 658992 838688 1258032 1317984 2516064 359823361 719646722 1079470083 1439293444 2158940166 2878586888 4317880332 5757173776 8635760664 11514347552 17271521328 34543042656