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116415266256 = 2433351176753
BaseRepresentation
bin110110001101011100…
…0111111110111010000
3102010111011212021021000
41230122320333313100
53401404302010011
6125251435102000
711260610302422
oct1543270776720
9363434767230
10116415266256
114540a423653
121a68b2a1900
13ac93620b43
1458c520c812
15306540c356
hex1b1ae3fdd0

116415266256 has 80 divisors (see below), whose sum is σ = 334254459520. Its totient is φ = 38793530880.

The previous prime is 116415266251. The next prime is 116415266267. The reversal of 116415266256 is 652662514611.

116415266256 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 15 + 2 + 6 + 625 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116415266251) 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, 1478376 + ... + 1555128.

It is an arithmetic number, because the mean of its divisors is an integer number (4178180744).

Almost surely, 2116415266256 is an apocalyptic number.

116415266256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

116415266256 is an abundant number, since it is smaller than the sum of its proper divisors (217839193264).

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

116415266256 is a wasteful number, since it uses less digits than its factorization.

116415266256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80281 (or 80269 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 116415266256 in words is "one hundred sixteen billion, four hundred fifteen million, two hundred sixty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 3511 7022 10533 14044 21066 28088 31599 42132 56176 63198 76753 84264 94797 126396 153506 168528 189594 230259 252792 307012 379188 460518 505584 614024 690777 758376 921036 1228048 1381554 1516752 1842072 2072331 2763108 3684144 4144662 5526216 8289324 11052432 16578648 33157296 269479783 538959566 808439349 1077919132 1616878698 2155838264 2425318047 3233757396 4311676528 4850636094 6467514792 7275954141 9701272188 12935029584 14551908282 19402544376 29103816564 38805088752 58207633128 116415266256