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130959251664 = 243171311225109
BaseRepresentation
bin111100111110111000…
…1111001100011010000
3110112000202221021112020
41321331301321203100
54121201032023124
6140054543131440
712314202162303
oct1717561714320
9415022837466
10130959251664
11505a30a10aa
1221469ba3b80
13c470845677
1464a4a4ab3a
153617196379
hex1e7dc798d0

130959251664 has 80 divisors (see below), whose sum is σ = 360946808640. Its totient is φ = 40771594240.

The previous prime is 130959251653. The next prime is 130959251701. The reversal of 130959251664 is 466152959031.

130959251664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 505659 + ... + 719450.

It is an arithmetic number, because the mean of its divisors is an integer number (4511835108).

Almost surely, 2130959251664 is an apocalyptic number.

It is an amenable number.

130959251664 is an abundant number, since it is smaller than the sum of its proper divisors (229987556976).

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

130959251664 is a wasteful number, since it uses less digits than its factorization.

130959251664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225268 (or 1225262 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 51.

The spelling of 130959251664 in words is "one hundred thirty billion, nine hundred fifty-nine million, two hundred fifty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 131 136 204 262 272 393 408 524 786 816 1048 1572 2096 2227 3144 4454 6288 6681 8908 13362 17816 26724 35632 53448 106896 1225109 2450218 3675327 4900436 7350654 9800872 14701308 19601744 20826853 29402616 41653706 58805232 62480559 83307412 124961118 160489279 166614824 249922236 320978558 333229648 481467837 499844472 641957116 962935674 999688944 1283914232 1925871348 2567828464 2728317743 3851742696 5456635486 7703485392 8184953229 10913270972 16369906458 21826541944 32739812916 43653083888 65479625832 130959251664