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131924068593156 = 223274591114029233
BaseRepresentation
bin11101111111101111110111…
…001111101110111000000100
3122022002211002011112000022100
4131333233313033232320010
5114242420443024440111
61144325025213232100
736534125254665540
oct3577576717567004
9568084064460270
10131924068593156
1139042757516214
1212967927792630
13587c5038a1508
1424812323a0a20
15103b9ab37b756
hex77fbf73eee04

131924068593156 has 72 divisors (see below), whose sum is σ = 381196992560384. Its totient is φ = 37684380591360.

The previous prime is 131924068593151. The next prime is 131924068593167. The reversal of 131924068593156 is 651395860429131.

131924068593156 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 24 + 0 + 6 + 8 + 593 + 15 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 131924068593093 and 131924068593102.

It is not an unprimeable number, because it can be changed into a prime (131924068593151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55857685 + ... + 58171548.

Almost surely, 2131924068593156 is an apocalyptic number.

It is an amenable number.

131924068593156 is an abundant number, since it is smaller than the sum of its proper divisors (249272923967228).

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

131924068593156 is a wasteful number, since it uses less digits than its factorization.

131924068593156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114033841 (or 114033836 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 131924068593156 in words is "one hundred thirty-one trillion, nine hundred twenty-four billion, sixty-eight million, five hundred ninety-three thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 4591 9182 13773 18364 27546 32137 41319 55092 64274 82638 96411 128548 165276 192822 289233 385644 578466 1156932 114029233 228058466 342087699 456116932 684175398 798204631 1026263097 1368350796 1596409262 2052526194 2394613893 3192818524 4105052388 4789227786 7183841679 9578455572 14367683358 28735366716 523508208703 1047016417406 1570524626109 2094032834812 3141049252218 3664557460921 4711573878327 6282098504436 7329114921842 9423147756654 10993672382763 14658229843684 18846295513308 21987344765526 32981017148289 43974689531052 65962034296578 131924068593156