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116148817664 = 2811217367601
BaseRepresentation
bin110110000101100000…
…0100100111100000000
3102002210121111021111122
41230023000210330000
53400333044131124
6125205200131412
711251163442365
oct1541300447400
9362717437448
10116148817664
1145292a85900
121a616006b68
13ac5036c659
14589ba9046c
15304bd2975e
hex1b0b024f00

116148817664 has 216 divisors, whose sum is σ = 271012521024. Its totient is φ = 49471488000.

The previous prime is 116148817607. The next prime is 116148817667. The reversal of 116148817664 is 466718841611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116148817667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193258964 + ... + 193259564.

Almost surely, 2116148817664 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 116148817664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135506260512).

116148817664 is an abundant number, since it is smaller than the sum of its proper divisors (154863703360).

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

116148817664 is a wasteful number, since it uses less digits than its factorization.

116148817664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 998 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 53.

The spelling of 116148817664 in words is "one hundred sixteen billion, one hundred forty-eight million, eight hundred seventeen thousand, six hundred sixty-four".