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130771953816 = 23372255143591
BaseRepresentation
bin111100111001010011…
…1011010100010011000
3110111112201111120011220
41321302213122202120
54120310110010231
6140024212452040
712306436160400
oct1716247324230
9414481446156
10130771953816
11505073a4499
122141731a020
13c440ab7b3a
146487c13800
1536059ea896
hex1e729da898

130771953816 has 96 divisors (see below), whose sum is σ = 380464001280. Its totient is φ = 37347912000.

The previous prime is 130771953803. The next prime is 130771953821. The reversal of 130771953816 is 618359177031.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2978181 + ... + 3021771.

It is an arithmetic number, because the mean of its divisors is an integer number (3963166680).

Almost surely, 2130771953816 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 130771953816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190232000640).

130771953816 is an abundant number, since it is smaller than the sum of its proper divisors (249692047464).

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

130771953816 is a wasteful number, since it uses less digits than its factorization.

130771953816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46165 (or 46154 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 51.

The spelling of 130771953816 in words is "one hundred thirty billion, seven hundred seventy-one million, nine hundred fifty-three thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 2551 5102 7653 10204 15306 17857 20408 30612 35714 43591 53571 61224 71428 87182 107142 124999 130773 142856 174364 214284 249998 261546 305137 348728 374997 428568 499996 523092 610274 749994 915411 999992 1046184 1220548 1499988 1830822 2135959 2441096 2999976 3661644 4271918 6407877 7323288 8543836 12815754 17087672 25631508 51263016 111200641 222401282 333601923 444802564 667203846 778404487 889605128 1334407692 1556808974 2335213461 2668815384 3113617948 4670426922 5448831409 6227235896 9340853844 10897662818 16346494227 18681707688 21795325636 32692988454 43590651272 65385976908 130771953816