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5957055120 = 243524821063
BaseRepresentation
bin1011000110001000…
…10111001010010000
3120101011020202101010
411203010113022100
544200001230440
62423040210520
7300423063432
oct54304271220
916334222333
105957055120
112587669755
1211a3009a40
1373c2109b3
14407230652
1524cea3580
hex163117290

5957055120 has 40 divisors (see below), whose sum is σ = 18466871616. Its totient is φ = 1588547968.

The previous prime is 5957055113. The next prime is 5957055133. The reversal of 5957055120 is 215507595.

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

It is a super-3 number, since 3×59570551203 (a number of 30 digits) contains 333 as substring.

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, 12410292 + ... + 12410771.

Almost surely, 25957055120 is an apocalyptic number.

It is an amenable number.

5957055120 is an abundant number, since it is smaller than the sum of its proper divisors (12509816496).

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

5957055120 is a wasteful number, since it uses less digits than its factorization.

5957055120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24821079 (or 24821073 counting only the distinct ones).

The product of its (nonzero) digits is 78750, while the sum is 39.

The square root of 5957055120 is about 77181.9611049110. The cubic root of 5957055120 is about 1812.7748733815.

The spelling of 5957055120 in words is "five billion, nine hundred fifty-seven million, fifty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 24821063 49642126 74463189 99284252 124105315 148926378 198568504 248210630 297852756 372315945 397137008 496421260 595705512 744631890 992842520 1191411024 1489263780 1985685040 2978527560 5957055120