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45932808961 = 132972801977
BaseRepresentation
bin101010110001110011…
…110000101100000001
311101120010200110101201
4222301303300230001
51223032244341321
633033511301201
73214154301634
oct526163605401
9141503613351
1045932808961
1118530967246
128a9a97a801
134440254200
14231a4c9c1b
1512dc79b291
hexab1cf0b01

45932808961 has 12 divisors (see below), whose sum is σ = 50250673452. Its totient is φ = 41962392576.

The previous prime is 45932808949. The next prime is 45932808979. The reversal of 45932808961 is 16980823954.

It can be written as a sum of positive squares in 6 ways, for example, as 1622558961 + 44310250000 = 40281^2 + 210500^2 .

It is not a de Polignac number, because 45932808961 - 27 = 45932808833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45932808991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1384596 + ... + 1417381.

It is an arithmetic number, because the mean of its divisors is an integer number (4187556121).

Almost surely, 245932808961 is an apocalyptic number.

It is an amenable number.

45932808961 is a deficient number, since it is larger than the sum of its proper divisors (4317864491).

45932808961 is a wasteful number, since it uses less digits than its factorization.

45932808961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2802100 (or 2802087 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 55.

The spelling of 45932808961 in words is "forty-five billion, nine hundred thirty-two million, eight hundred eight thousand, nine hundred sixty-one".

Divisors: 1 13 97 169 1261 16393 2801977 36425701 271791769 473534113 3533292997 45932808961