Search a number
-
+
76706000135568 = 2433199345272921
BaseRepresentation
bin10001011100001110000001…
…111000111110010110010000
3101001121000121000222012002000
4101130032001320332112100
540023222342013314233
6431050125555354000
722104553122212316
oct2134160170762620
9331530530865060
1076706000135568
112249391739a8a1
12872a1782b2900
1333a54636190bb
1414d28397a20b6
158d0474698d13
hex45c381e3e590

76706000135568 has 80 divisors (see below), whose sum is σ = 231762768465600. Its totient is φ = 24222947408640.

The previous prime is 76706000135539. The next prime is 76706000135579. The reversal of 76706000135568 is 86553100060767.

76706000135568 is a `hidden beast` number, since 7 + 6 + 7 + 0 + 60 + 0 + 0 + 13 + 5 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 4672628253 + ... + 4672644668.

It is an arithmetic number, because the mean of its divisors is an integer number (2897034605820).

Almost surely, 276706000135568 is an apocalyptic number.

It is an amenable number.

76706000135568 is an abundant number, since it is smaller than the sum of its proper divisors (155056768330032).

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

76706000135568 is a wasteful number, since it uses less digits than its factorization.

76706000135568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9345272957 (or 9345272945 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 76706000135568 in words is "seventy-six trillion, seven hundred six billion, one hundred thirty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 8208 9345272921 18690545842 28035818763 37381091684 56071637526 74762183368 84107456289 112143275052 149524366736 168214912578 177560185499 224286550104 252322368867 336429825156 355120370998 448573100208 504644737734 532680556497 672859650312 710240741996 1009289475468 1065361112994 1345719300624 1420481483992 1598041669491 2018578950936 2130722225988 2840962967984 3196083338982 4037157901872 4261444451976 4794125008473 6392166677964 8522888903952 9588250016946 12784333355928 19176500033892 25568666711856 38353000067784 76706000135568