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130865229872 = 241313715729251
BaseRepresentation
bin111100111100000101…
…1001111000000110000
3110111210020000110212122
41321320023033000300
54121002444323442
6140041344013412
712311651046266
oct1717013170060
9414706013778
10130865229872
1150555013143
1221442601268
13c457215c80
146496374436
15360dcc2dd2
hex1e782cf030

130865229872 has 80 divisors (see below), whose sum is σ = 276809803872. Its totient is φ = 59574528000.

The previous prime is 130865229797. The next prime is 130865229919. The reversal of 130865229872 is 278922568031.

It is a super-2 number, since 2×1308652298722 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4459247 + ... + 4488497.

Almost surely, 2130865229872 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 130865229872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138404901936).

130865229872 is an abundant number, since it is smaller than the sum of its proper divisors (145944574000).

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

130865229872 is a wasteful number, since it uses less digits than its factorization.

130865229872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29566 (or 29560 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 53.

The spelling of 130865229872 in words is "one hundred thirty billion, eight hundred sixty-five million, two hundred twenty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 52 104 137 157 208 274 314 548 628 1096 1256 1781 2041 2192 2512 3562 4082 7124 8164 14248 16328 21509 28496 29251 32656 43018 58502 86036 117004 172072 234008 279617 344144 380263 468016 559234 760526 1118468 1521052 2236936 3042104 4007387 4473872 4592407 6084208 8014774 9184814 16029548 18369628 32059096 36739256 52096031 59701291 64118192 73478512 104192062 119402582 208384124 238805164 416768248 477610328 629159759 833536496 955220656 1258319518 2516639036 5033278072 8179076867 10066556144 16358153734 32716307468 65432614936 130865229872