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9957013830 = 233536877829
BaseRepresentation
bin10010100010111101…
…11111100101000110
3221200220212201012000
421101132333211012
5130342443420310
64324005210130
7501513135561
oct112136774506
927626781160
109957013830
11424a524955
121b1a700946
13c28b1967a
146a65734d8
153d421b4c0
hex2517bf946

9957013830 has 32 divisors (see below), whose sum is σ = 26552037600. Its totient is φ = 2655203616.

The previous prime is 9957013813. The next prime is 9957013831. The reversal of 9957013830 is 383107599.

It is a happy number.

It is a super-2 number, since 2×99570138302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9957013831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18438645 + ... + 18439184.

It is an arithmetic number, because the mean of its divisors is an integer number (829751175).

Almost surely, 29957013830 is an apocalyptic number.

9957013830 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9957013830 is an abundant number, since it is smaller than the sum of its proper divisors (16595023770).

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

9957013830 is a wasteful number, since it uses less digits than its factorization.

9957013830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36877845 (or 36877839 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 9957013830 is about 99784.8376758714. The cubic root of 9957013830 is about 2151.3432262571.

The spelling of 9957013830 in words is "nine billion, nine hundred fifty-seven million, thirteen thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 36877829 73755658 110633487 184389145 221266974 331900461 368778290 553167435 663800922 995701383 1106334870 1659502305 1991402766 3319004610 4978506915 9957013830