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130513796028 = 223271147082899
BaseRepresentation
bin111100110001100111…
…0100111101110111100
3110110212201201210021100
41321203032213232330
54114243012433103
6135542431333100
712300152650650
oct1714316475674
9413781653240
10130513796028
11503946a9750
1221364981190
13c3cc47a255
146461812a60
1535dd0045a3
hex1e633a7bbc

130513796028 has 72 divisors (see below), whose sum is σ = 411316214400. Its totient is φ = 33899686560.

The previous prime is 130513796027. The next prime is 130513796069. The reversal of 130513796028 is 820697315031.

130513796028 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 1 + 37 + 9 + 602 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130513796027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23538678 + ... + 23544221.

It is an arithmetic number, because the mean of its divisors is an integer number (5712725200).

Almost surely, 2130513796028 is an apocalyptic number.

130513796028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

130513796028 is an abundant number, since it is smaller than the sum of its proper divisors (280802418372).

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

130513796028 is a wasteful number, since it uses less digits than its factorization.

130513796028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47082927 (or 47082922 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 130513796028 in words is "one hundred thirty billion, five hundred thirteen million, seven hundred ninety-six thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 47082899 94165798 141248697 188331596 282497394 329580293 423746091 517911889 564994788 659160586 847492182 988740879 1035823778 1318321172 1553735667 1694984364 1977481758 2071647556 2966222637 3107471334 3625383223 3954963516 4661207001 5932445274 6214942668 7250766446 9322414002 10876149669 11864890548 14501532892 18644828004 21752299338 32628449007 43504598676 65256898014 130513796028