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130562683832 = 2373208922777
BaseRepresentation
bin111100110011000100…
…1000111001110111000
3110111000010201112201202
41321212021013032320
54114343021340312
6135551335233332
712301315334000
oct1714611071670
9414003645652
10130562683832
115040a25a899
1221379218848
13c409636349
1464680db000
1535e245e9c2
hex1e662473b8

130562683832 has 64 divisors (see below), whose sum is σ = 285636120000. Its totient is φ = 55926194688.

The previous prime is 130562683813. The next prime is 130562683859. The reversal of 130562683832 is 238386265031.

It is a super-2 number, since 2×1305626838322 (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 5720828 + ... + 5743604.

It is an arithmetic number, because the mean of its divisors is an integer number (4463064375).

Almost surely, 2130562683832 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 130562683832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142818060000).

130562683832 is an abundant number, since it is smaller than the sum of its proper divisors (155073436168).

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

130562683832 is a wasteful number, since it uses less digits than its factorization.

130562683832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24893 (or 24875 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 47.

The spelling of 130562683832 in words is "one hundred thirty billion, five hundred sixty-two million, six hundred eighty-three thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 686 1372 2089 2744 4178 8356 14623 16712 22777 29246 45554 58492 91108 102361 116984 159439 182216 204722 318878 409444 637756 716527 818888 1116073 1275512 1433054 2232146 2866108 4464292 5732216 7812511 8928584 15625022 31250044 47581153 62500088 95162306 190324612 333068071 380649224 666136142 1332272284 2331476497 2664544568 4662952994 9325905988 16320335479 18651811976 32640670958 65281341916 130562683832