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130516596972 = 22342391685477
BaseRepresentation
bin111100110001101100…
…1010011100011101100
3110110212221000002110000
41321203121103203230
54114244222100342
6135543011344300
712300215524656
oct1714331234354
9413787002400
10130516596972
1150396242083
12213658b2090
13c3ccc1b108
146461d416d6
1535dd3a944c
hex1e636538ec

130516596972 has 60 divisors (see below), whose sum is σ = 342623967840. Its totient is φ = 43323475104.

The previous prime is 130516596967. The next prime is 130516597007. The reversal of 130516596972 is 279695615031.

130516596972 is a `hidden beast` number, since 1 + 3 + 0 + 516 + 59 + 6 + 9 + 72 = 666.

It is a super-3 number, since 3×1305165969723 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 765303 + ... + 920174.

It is an arithmetic number, because the mean of its divisors is an integer number (5710399464).

Almost surely, 2130516596972 is an apocalyptic number.

130516596972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130516596972 is an abundant number, since it is smaller than the sum of its proper divisors (212107370868).

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

130516596972 is a wasteful number, since it uses less digits than its factorization.

130516596972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685732 (or 1685721 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 130516596972 in words is "one hundred thirty billion, five hundred sixteen million, five hundred ninety-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 239 324 478 717 956 1434 2151 2868 4302 6453 8604 12906 19359 25812 38718 77436 1685477 3370954 5056431 6741908 10112862 15169293 20225724 30338586 45507879 60677172 91015758 136523637 182031516 273047274 402829003 546094548 805658006 1208487009 1611316012 2416974018 3625461027 4833948036 7250922054 10876383081 14501844108 21752766162 32629149243 43505532324 65258298486 130516596972