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116336866464 = 25337133159809
BaseRepresentation
bin110110001011000110…
…1111011010010100000
3102010021201100010222000
41230112031323102200
53401224214211324
6125235554444000
711255636022540
oct1542615732240
9363251303860
10116336866464
114537a145735
121a668b93600
13ac80300c30
1458b8a41320
15305d5c29c9
hex1b1637b4a0

116336866464 has 768 divisors, whose sum is σ = 438939648000. Its totient is φ = 29153157120.

The previous prime is 116336866453. The next prime is 116336866507. The reversal of 116336866464 is 464668633611.

116336866464 is a `hidden beast` number, since 1 + 1 + 63 + 3 + 68 + 66 + 464 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 116336866464.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 143802892 + ... + 143803700.

It is an arithmetic number, because the mean of its divisors is an integer number (571536000).

Almost surely, 2116336866464 is an apocalyptic number.

116336866464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116336866464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219469824000).

116336866464 is an abundant number, since it is smaller than the sum of its proper divisors (322602781536).

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

116336866464 is a wasteful number, since it uses less digits than its factorization.

116336866464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 924 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 116336866464 in words is "one hundred sixteen billion, three hundred thirty-six million, eight hundred sixty-six thousand, four hundred sixty-four".