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130644138510 = 232519124961169
BaseRepresentation
bin111100110101011111…
…1110101101000001110
3110111012210222212112200
41321222333311220032
54120024344413020
6140003405142330
712303324566124
oct1715277655016
9414183885480
10130644138510
1150451234a06
12213a055a9a6
13c420485892
146474c61914
1535e969e590
hex1e6aff5a0e

130644138510 has 96 divisors (see below), whose sum is σ = 357844500000. Its totient is φ = 32977870848.

The previous prime is 130644138479. The next prime is 130644138517. The reversal of 130644138510 is 15831446031.

130644138510 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 4 + 4 + 138 + 510 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130644138517) 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 47 ways as a sum of consecutive naturals, for example, 2105206 + ... + 2166374.

It is an arithmetic number, because the mean of its divisors is an integer number (3727546875).

Almost surely, 2130644138510 is an apocalyptic number.

130644138510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130644138510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178922250000).

130644138510 is an abundant number, since it is smaller than the sum of its proper divisors (227200361490).

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

130644138510 is a wasteful number, since it uses less digits than its factorization.

130644138510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62450 (or 62447 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 130644138510 in words is "one hundred thirty billion, six hundred forty-four million, one hundred thirty-eight thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1249 1710 2498 3747 6245 7494 11241 12490 18735 22482 23731 37470 47462 56205 61169 71193 112410 118655 122338 142386 183507 213579 237310 305845 355965 367014 427158 550521 611690 711930 917535 1067895 1101042 1162211 1835070 2135790 2324422 2752605 3486633 5505210 5811055 6973266 10459899 11622110 17433165 20919798 34866330 52299495 76400081 104598990 152800162 229200243 382000405 458400486 687600729 764000810 1146001215 1375201458 1451601539 2292002430 2903203078 3438003645 4354804617 6876007290 7258007695 8709609234 13064413851 14516015390 21774023085 26128827702 43548046170 65322069255 130644138510