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136011527808 = 2731349954601
BaseRepresentation
bin111111010101011101…
…0110011011010000000
3111000001212200111110220
41332222322303122000
54212022422342213
6142252143023040
712553330624332
oct1765272633200
9430055614426
10136011527808
1152755a63a32
1222439b9aa80
13ca97478690
146823a39452
1538109c6e23
hex1faaeb3680

136011527808 has 128 divisors (see below), whose sum is σ = 389858280000. Its totient is φ = 41765068800.

The previous prime is 136011527789. The next prime is 136011527833. The reversal of 136011527808 is 808725110631.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 136011527808.

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, 2463708 + ... + 2518308.

Almost surely, 2136011527808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136011527808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194929140000).

136011527808 is an abundant number, since it is smaller than the sum of its proper divisors (253846752192).

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

136011527808 is a wasteful number, since it uses less digits than its factorization.

136011527808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55130 (or 55118 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 136011527808 in words is "one hundred thirty-six billion, eleven million, five hundred twenty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 499 624 832 998 1248 1497 1664 1996 2496 2994 3992 4992 5988 6487 7984 11976 12974 15968 19461 23952 25948 31936 38922 47904 51896 54601 63872 77844 95808 103792 109202 155688 163803 191616 207584 218404 311376 327606 415168 436808 622752 655212 709813 830336 873616 1245504 1310424 1419626 1747232 2129439 2491008 2620848 2839252 3494464 4258878 5241696 5678504 6988928 8517756 10483392 11357008 17035512 20966784 22714016 27245899 34071024 45428032 54491798 68142048 81737697 90856064 108983596 136284096 163475394 217967192 272568192 326950788 354196687 435934384 653901576 708393374 871868768 1062590061 1307803152 1416786748 1743737536 2125180122 2615606304 2833573496 3487475072 4250360244 5231212608 5667146992 8500720488 10462425216 11334293984 17001440976 22668587968 34002881952 45337175936 68005763904 136011527808