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34355489664 = 273791132499
BaseRepresentation
bin11111111111101111…
…110010101110000000
310021200021220200222010
4133333233302232000
51030330001132124
623441021212520
72324234562306
oct377757625600
9107607820863
1034355489664
111362a861971
1267a9701140
133316842612
14193ca98276
15d611be529
hex7ffbf2b80

34355489664 has 64 divisors (see below), whose sum is σ = 92412000000. Its totient is φ = 11306860032.

The previous prime is 34355489657. The next prime is 34355489671. The reversal of 34355489664 is 46698455343.

It is an interprime number because it is at equal distance from previous prime (34355489657) and next prime (34355489671).

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 535914 + ... + 596585.

It is an arithmetic number, because the mean of its divisors is an integer number (1443937500).

Almost surely, 234355489664 is an apocalyptic number.

It is an amenable number.

34355489664 is an abundant number, since it is smaller than the sum of its proper divisors (58056510336).

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

34355489664 is a wasteful number, since it uses less digits than its factorization.

34355489664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132595 (or 1132583 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 57.

The spelling of 34355489664 in words is "thirty-four billion, three hundred fifty-five million, four hundred eighty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 316 384 474 632 948 1264 1896 2528 3792 5056 7584 10112 15168 30336 1132499 2264998 3397497 4529996 6794994 9059992 13589988 18119984 27179976 36239968 54359952 72479936 89467421 108719904 144959872 178934842 217439808 268402263 357869684 434879616 536804526 715739368 1073609052 1431478736 2147218104 2862957472 4294436208 5725914944 8588872416 11451829888 17177744832 34355489664