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5164131923136 = 263213964500049
BaseRepresentation
bin100101100100101111000…
…1111111011010011000000
3200021200112020021201101100
41023021132033323103000
51134102120233020021
614552211445134400
71042045001042364
oct113113617732300
920250466251340
105164131923136
11171110692972a
126b4a153ba400
132b5c8b392504
1413bd33d512a4
158e4e6ce2626
hex4b25e3fb4c0

5164131923136 has 84 divisors (see below), whose sum is σ = 14908541557000. Its totient is φ = 1708993271808.

The previous prime is 5164131923117. The next prime is 5164131923149. The reversal of 5164131923136 is 6313291314615.

5164131923136 is a `hidden beast` number, since 5 + 16 + 4 + 1 + 319 + 2 + 313 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5164131923091 and 5164131923100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32169961 + ... + 32330088.

Almost surely, 25164131923136 is an apocalyptic number.

It is an amenable number.

5164131923136 is an abundant number, since it is smaller than the sum of its proper divisors (9744409633864).

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

5164131923136 is a wasteful number, since it uses less digits than its factorization.

5164131923136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64500206 (or 64500193 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The spelling of 5164131923136 in words is "five trillion, one hundred sixty-four billion, one hundred thirty-one million, nine hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 139 144 192 278 288 417 556 576 834 1112 1251 1668 2224 2502 3336 4448 5004 6672 8896 10008 13344 20016 26688 40032 80064 64500049 129000098 193500147 258000196 387000294 516000392 580500441 774000588 1032000784 1161000882 1548001176 2064001568 2322001764 3096002352 4128003136 4644003528 6192004704 8965506811 9288007056 12384009408 17931013622 18576014112 26896520433 35862027244 37152028224 53793040866 71724054488 80689561299 107586081732 143448108976 161379122598 215172163464 286896217952 322758245196 430344326928 573792435904 645516490392 860688653856 1291032980784 1721377307712 2582065961568 5164131923136