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45254402964 = 22323733974777
BaseRepresentation
bin101010001001010111…
…110110001110010100
311022210212010212022200
4222021113312032110
51220140111343324
632442314524500
73161306035611
oct521127661624
9138725125280
1045254402964
1118212a26831
12892b736730
134362835944
142294373508
15129ce41ec9
hexa895f6394

45254402964 has 36 divisors (see below), whose sum is σ = 117484782324. Its totient is φ = 14677103232.

The previous prime is 45254402959. The next prime is 45254402971. The reversal of 45254402964 is 46920445254.

It is a happy number.

45254402964 is a `hidden beast` number, since 4 + 525 + 4 + 40 + 29 + 64 = 666.

45254402964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 27762224400 + 17492178564 = 166620^2 + 132258^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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, 16986057 + ... + 16988720.

Almost surely, 245254402964 is an apocalyptic number.

It is an amenable number.

45254402964 is an abundant number, since it is smaller than the sum of its proper divisors (72230379360).

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

45254402964 is a wasteful number, since it uses less digits than its factorization.

45254402964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33974824 (or 33974819 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 45254402964 in words is "forty-five billion, two hundred fifty-four million, four hundred two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 33974777 67949554 101924331 135899108 203848662 305772993 407697324 611545986 1223091972 1257066749 2514133498 3771200247 5028266996 7542400494 11313600741 15084800988 22627201482 45254402964