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13627934064 = 2432694913619
BaseRepresentation
bin11001011000100100…
…11100010101110000
31022011202100210001200
430230102130111300
5210402222342224
610132141531200
7661466346123
oct145422342560
938152323050
1013627934064
115863682628
122783b73b00
1313924cb114
14933d043ba
1554b63b5c9
hex32c49c570

13627934064 has 60 divisors (see below), whose sum is σ = 38147577000. Its totient is φ = 4541657472.

The previous prime is 13627934059. The next prime is 13627934071. The reversal of 13627934064 is 46043972631.

13627934064 is a `hidden beast` number, since 1 + 36 + 279 + 340 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 993847 + ... + 1007465.

It is an arithmetic number, because the mean of its divisors is an integer number (635792950).

Almost surely, 213627934064 is an apocalyptic number.

It is an amenable number.

13627934064 is an abundant number, since it is smaller than the sum of its proper divisors (24519642936).

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

13627934064 is a wasteful number, since it uses less digits than its factorization.

13627934064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20582 (or 20573 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 13627934064 in words is "thirteen billion, six hundred twenty-seven million, nine hundred thirty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 6949 13619 13898 20847 27238 27796 40857 41694 54476 55592 62541 81714 83388 108952 111184 122571 125082 163428 166776 217904 245142 250164 326856 333552 490284 500328 653712 980568 1000656 1961136 94638431 189276862 283915293 378553724 567830586 757107448 851745879 1135661172 1514214896 1703491758 2271322344 3406983516 4542644688 6813967032 13627934064