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5313756132 = 22324310333323
BaseRepresentation
bin1001111001011100…
…10111101111100100
3111201022202210001200
410330232113233210
541340310144012
62235140122500
7245452116246
oct47456275744
914638683050
105313756132
1122875276a3
121043696430
13668b64ac9
14385a16096
152117813dc
hex13cb97be4

5313756132 has 72 divisors (see below), whose sum is σ = 13761812064. Its totient is φ = 1727865216.

The previous prime is 5313756121. The next prime is 5313756137. The reversal of 5313756132 is 2316573135.

5313756132 is a `hidden beast` number, since 5 + 3 + 1 + 37 + 5 + 613 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5313756137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1597423 + ... + 1600745.

Almost surely, 25313756132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5313756132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6880906032).

5313756132 is an abundant number, since it is smaller than the sum of its proper divisors (8448055932).

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

5313756132 is a wasteful number, since it uses less digits than its factorization.

5313756132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4409 (or 4404 counting only the distinct ones).

The product of its digits is 56700, while the sum is 36.

The square root of 5313756132 is about 72895.5151706880. The cubic root of 5313756132 is about 1745.0205258079.

The spelling of 5313756132 in words is "five billion, three hundred thirteen million, seven hundred fifty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1033 1548 2066 3099 3323 4132 6198 6646 9297 9969 12396 13292 18594 19938 29907 37188 39876 44419 59814 88838 119628 133257 142889 177676 266514 285778 399771 428667 533028 571556 799542 857334 1286001 1599084 1714668 2572002 3432659 5144004 6865318 10297977 13730636 20595954 30893931 41191908 61787862 123575724 147604337 295208674 442813011 590417348 885626022 1328439033 1771252044 2656878066 5313756132