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45516255520 = 2551454919553
BaseRepresentation
bin101010011000111110…
…101111000100100000
311100111002212100111111
4222120332233010200
51221204130134040
632524311153104
73200635534261
oct523076570440
9140432770444
1045516255520
11183378154aa
1289a3375794
1343a4b68198
1422bb056968
1512b5e17dea
hexa98faf120

45516255520 has 48 divisors (see below), whose sum is σ = 107545044600. Its totient is φ = 18204319744.

The previous prime is 45516255497. The next prime is 45516255557. The reversal of 45516255520 is 2555261554.

It can be written as a sum of positive squares in 4 ways, for example, as 45159650064 + 356605456 = 212508^2 + 18884^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2318064 + ... + 2337616.

Almost surely, 245516255520 is an apocalyptic number.

45516255520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45516255520 is an abundant number, since it is smaller than the sum of its proper divisors (62028789080).

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

45516255520 is a wasteful number, since it uses less digits than its factorization.

45516255520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34117 (or 34109 counting only the distinct ones).

The product of its (nonzero) digits is 300000, while the sum is 40.

The spelling of 45516255520 in words is "forty-five billion, five hundred sixteen million, two hundred fifty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 14549 19553 29098 39106 58196 72745 78212 97765 116392 145490 156424 195530 232784 290980 312848 391060 465568 581960 625696 782120 1163920 1564240 2327840 3128480 284476597 568953194 1137906388 1422382985 2275812776 2844765970 4551625552 5689531940 9103251104 11379063880 22758127760 45516255520