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131781783735056 = 24713312919660221
BaseRepresentation
bin11101111101101011010110…
…011010000100101100010000
3122021121012211002110022111002
4131331223112122010230100
5114233103043114010211
61144135414331041132
736520630310441420
oct3575532632045420
9567535732408432
10131781783735056
1138a983824133a4
12129442388a01a8
13586bc798394a0
1424783b5526480
151037e2ec7a03b
hex77dad6684b10

131781783735056 has 80 divisors (see below), whose sum is σ = 324385929305088. Its totient is φ = 50451728601600.

The previous prime is 131781783734999. The next prime is 131781783735059. The reversal of 131781783735056 is 650537387187131.

It is a happy number.

It is a super-2 number, since 2×1317817837350562 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131781783734983 and 131781783735001.

It is not an unprimeable number, because it can be changed into a prime (131781783735059) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1459784975 + ... + 1459875246.

Almost surely, 2131781783735056 is an apocalyptic number.

131781783735056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131781783735056 is an abundant number, since it is smaller than the sum of its proper divisors (192604145570032).

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

131781783735056 is a wasteful number, since it uses less digits than its factorization.

131781783735056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919660280 (or 2919660274 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 65.

The spelling of 131781783735056 in words is "one hundred thirty-one trillion, seven hundred eighty-one billion, seven hundred eighty-three million, seven hundred thirty-five thousand, fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 52 56 62 91 104 112 124 182 208 217 248 364 403 434 496 728 806 868 1456 1612 1736 2821 3224 3472 5642 6448 11284 22568 45136 2919660221 5839320442 11678640884 20437621547 23357281768 37955582873 40875243094 46714563536 75911165746 81750486188 90509466851 151822331492 163500972376 181018933702 265689080111 303644662984 327001944752 362037867404 531378160222 607289325968 633566267957 724075734808 1062756320444 1176623069063 1267132535914 1448151469616 2125512640888 2353246138126 2534265071828 4251025281776 4706492276252 5068530143656 8236361483441 9412984552504 10137060287312 16472722966882 18825969105008 32945445933764 65890891867528 131781783735056