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45144353152 = 27595977801
BaseRepresentation
bin101010000010110100…
…000010100110000000
311022112012001202100201
4222002310002212000
51214423423300102
632423344054544
73155501445643
oct520264024600
9138465052321
1045144353152
11181668a0778
1288ba904454
134345ab3a02
1422838c7a5a
151293454987
hexa82d02980

45144353152 has 32 divisors (see below), whose sum is σ = 91460370600. Its totient is φ = 22189593600.

The previous prime is 45144353123. The next prime is 45144353203. The reversal of 45144353152 is 25135344154.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2981349 + ... + 2996452.

Almost surely, 245144353152 is an apocalyptic number.

It is an amenable number.

45144353152 is an abundant number, since it is smaller than the sum of its proper divisors (46316017448).

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

45144353152 is an equidigital number, since it uses as much as digits as its factorization.

45144353152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5977874 (or 5977862 counting only the distinct ones).

The product of its digits is 144000, while the sum is 37.

The spelling of 45144353152 in words is "forty-five billion, one hundred forty-four million, three hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 472 944 1888 3776 7552 5977801 11955602 23911204 47822408 95644816 191289632 352690259 382579264 705380518 765158528 1410761036 2821522072 5643044144 11286088288 22572176576 45144353152