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45380951424 = 273239393187
BaseRepresentation
bin101010010000111010…
…100101110110000000
311100010200021012011200
4222100322211312000
51220420010421144
632503035141200
73164403502554
oct522072456600
9140120235150
1045380951424
1118278400536
128965ba4800
134382b133a3
1422a70b5864
1512a90dcc69
hexa90ea5d80

45380951424 has 48 divisors (see below), whose sum is σ = 130588418220. Its totient is φ = 15126983424.

The previous prime is 45380951401. The next prime is 45380951431. The reversal of 45380951424 is 42415908354.

45380951424 is a `hidden beast` number, since 4 + 53 + 80 + 9 + 514 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 45380951424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19695442 + ... + 19697745.

Almost surely, 245380951424 is an apocalyptic number.

It is an amenable number.

45380951424 is an abundant number, since it is smaller than the sum of its proper divisors (85207466796).

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

45380951424 is a wasteful number, since it uses less digits than its factorization.

45380951424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39393207 (or 39393192 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 45380951424 in words is "forty-five billion, three hundred eighty million, nine hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 39393187 78786374 118179561 157572748 236359122 315145496 354538683 472718244 630290992 709077366 945436488 1260581984 1418154732 1890872976 2521163968 2836309464 3781745952 5042327936 5672618928 7563491904 11345237856 15126983808 22690475712 45380951424