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45331610364 = 2233419737133
BaseRepresentation
bin101010001101111110…
…010111101011111100
311100000020102101222000
4222031332113223330
51220314343012424
632454113422300
73163234221225
oct521576275374
9140006371860
1045331610364
111825256a8a7
12895156a990
134375828bb1
1422a071024c
1512a4ae33c9
hexa8df97afc

45331610364 has 24 divisors (see below), whose sum is σ = 117526397520. Its totient is φ = 15110536752.

The previous prime is 45331610323. The next prime is 45331610369. The reversal of 45331610364 is 46301613354.

45331610364 is a `hidden beast` number, since 4 + 5 + 3 + 3 + 1 + 610 + 36 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45331610369) by changing a digit.

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, 209868459 + ... + 209868674.

It is an arithmetic number, because the mean of its divisors is an integer number (4896933230).

Almost surely, 245331610364 is an apocalyptic number.

It is an amenable number.

45331610364 is an abundant number, since it is smaller than the sum of its proper divisors (72194787156).

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

45331610364 is a wasteful number, since it uses less digits than its factorization.

45331610364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419737146 (or 419737138 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 45331610364 in words is "forty-five billion, three hundred thirty-one million, six hundred ten thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 419737133 839474266 1259211399 1678948532 2518422798 3777634197 5036845596 7555268394 11332902591 15110536788 22665805182 45331610364