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45522502160 = 245737794949
BaseRepresentation
bin101010011001010110…
…100100001000010000
311100111112121201021112
4222121112210020100
51221212230032120
632525053112452
73201042612122
oct523126441020
9140445551245
1045522502160
11183402a1713
1289a5488728
1343a6244515
1422bbc01212
1512b674dbc5
hexa995a4210

45522502160 has 40 divisors (see below), whose sum is σ = 107289691800. Its totient is φ = 17959560192.

The previous prime is 45522502057. The next prime is 45522502217. The reversal of 45522502160 is 6120522554.

It can be written as a sum of positive squares in 4 ways, for example, as 361152016 + 45161350144 = 19004^2 + 212512^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3891635 + ... + 3903314.

It is an arithmetic number, because the mean of its divisors is an integer number (2682242295).

Almost surely, 245522502160 is an apocalyptic number.

45522502160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45522502160 is an abundant number, since it is smaller than the sum of its proper divisors (61767189640).

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

45522502160 is a wasteful number, since it uses less digits than its factorization.

45522502160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7795035 (or 7795029 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The spelling of 45522502160 in words is "forty-five billion, five hundred twenty-two million, five hundred two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 7794949 15589898 31179796 38974745 62359592 77949490 124719184 155898980 311797960 569031277 623595920 1138062554 2276125108 2845156385 4552250216 5690312770 9104500432 11380625540 22761251080 45522502160