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46964511627 = 3111783715707
BaseRepresentation
bin101011101111010011…
…011001001110001011
311111020001000101101120
4223233103121032023
51232140403333002
633324124250323
73251552522265
oct535723311613
9144201011346
1046964511627
1118a10273780
1291283a09a3
134575c11367
1423b752ab35
15134d140cbc
hexaef4d938b

46964511627 has 16 divisors (see below), whose sum is σ = 72330371712. Its totient is φ = 26789025920.

The previous prime is 46964511623. The next prime is 46964511637. The reversal of 46964511627 is 72611546964.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 46964511627 - 22 = 46964511623 is a prime.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 46964511627.

It is not an unprimeable number, because it can be changed into a prime (46964511623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41857293 + ... + 41858414.

It is an arithmetic number, because the mean of its divisors is an integer number (4520648232).

Almost surely, 246964511627 is an apocalyptic number.

46964511627 is a deficient number, since it is larger than the sum of its proper divisors (25365860085).

46964511627 is a wasteful number, since it uses less digits than its factorization.

46964511627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83715738.

The product of its digits is 2177280, while the sum is 51.

The spelling of 46964511627 in words is "forty-six billion, nine hundred sixty-four million, five hundred eleven thousand, six hundred twenty-seven".

Divisors: 1 3 11 17 33 51 187 561 83715707 251147121 920872777 1423167019 2762618331 4269501057 15654837209 46964511627