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131637190256 = 241113311855927
BaseRepresentation
bin111101010011000110…
…0000001111001110000
3110120210000121010102222
41322212030001321300
54124043110042011
6140250121500212
712340043440535
oct1724614017160
9416700533388
10131637190256
1150910842430
1221619041668
13c54b12c270
14652aac0d8c
15365695bddb
hex1ea6301e70

131637190256 has 80 divisors (see below), whose sum is σ = 309301536768. Its totient is φ = 53450668800.

The previous prime is 131637190183. The next prime is 131637190273. The reversal of 131637190256 is 652091736131.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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, 857036 + ... + 998891.

Almost surely, 2131637190256 is an apocalyptic number.

131637190256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131637190256 is an abundant number, since it is smaller than the sum of its proper divisors (177664346512).

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

131637190256 is a wasteful number, since it uses less digits than its factorization.

131637190256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855990 (or 1855984 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 44.

The spelling of 131637190256 in words is "one hundred thirty-one billion, six hundred thirty-seven million, one hundred ninety thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 13 16 22 26 31 44 52 62 88 104 124 143 176 208 248 286 341 403 496 572 682 806 1144 1364 1612 2288 2728 3224 4433 5456 6448 8866 17732 35464 70928 1855927 3711854 7423708 14847416 20415197 24127051 29694832 40830394 48254102 57533737 81660788 96508204 115067474 163321576 193016408 230134948 265397561 326643152 386032816 460269896 530795122 632871107 747938581 920539792 1061590244 1265742214 1495877162 2123180488 2531484428 2991754324 4246360976 5062968856 5983508648 8227324391 10125937712 11967017296 16454648782 32909297564 65818595128 131637190256