Search a number
-
+
136312696064 = 283141418939
BaseRepresentation
bin111111011110011011…
…1101010110100000000
3111000211212101102122202
41332330313222310000
54213132022233224
6142342102052332
712563645541026
oct1767467526400
9430755342582
10136312696064
115289aa66116
1222502a1a0a8
13cb1499514c
146851a34716
15382c166eae
hex1fbcdead00

136312696064 has 72 divisors (see below), whose sum is σ = 287721288960. Its totient is φ = 64348876800.

The previous prime is 136312696027. The next prime is 136312696087. The reversal of 136312696064 is 460696213631.

It is a super-2 number, since 2×1363126960642 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115907 + ... + 534845.

Almost surely, 2136312696064 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 136312696064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143860644480).

136312696064 is an abundant number, since it is smaller than the sum of its proper divisors (151408592896).

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

136312696064 is an equidigital number, since it uses as much as digits as its factorization.

136312696064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419027 (or 419013 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 47.

The spelling of 136312696064 in words is "one hundred thirty-six billion, three hundred twelve million, six hundred ninety-six thousand, sixty-four".

Divisors: 1 2 4 8 16 31 32 41 62 64 82 124 128 164 248 256 328 496 656 992 1271 1312 1984 2542 2624 3968 5084 5248 7936 10168 10496 20336 40672 81344 162688 325376 418939 837878 1675756 3351512 6703024 12987109 13406048 17176499 25974218 26812096 34352998 51948436 53624192 68705996 103896872 107248384 137411992 207793744 274823984 415587488 532471469 549647968 831174976 1064942938 1099295936 1662349952 2129885876 2198591872 3324699904 4259771752 4397183744 8519543504 17039087008 34078174016 68156348032 136312696064