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117644541696 = 28331119313771
BaseRepresentation
bin110110110010000101…
…0010011111100000000
3102020122211221221011000
41231210022103330000
53411414000313241
6130013430452000
711333225051013
oct1554412237400
9366584857130
10117644541696
1145990305470
121a972b04000
13b12b1c5566
1459a059d37a
1530d82cbeb6
hex1b64293f00

117644541696 has 1152 divisors, whose sum is σ = 429495091200. Its totient is φ = 31352832000.

The previous prime is 117644541691. The next prime is 117644541701. The reversal of 117644541696 is 696145446711.

117644541696 is a `hidden beast` number, since 1 + 1 + 7 + 6 + 4 + 4 + 541 + 6 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (117644541691) and next prime (117644541701).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117644541691) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1656965341 + ... + 1656965411.

It is an arithmetic number, because the mean of its divisors is an integer number (372825600).

Almost surely, 2117644541696 is an apocalyptic number.

117644541696 is a gapful number since it is divisible by the number (16) 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 117644541696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214747545600).

117644541696 is an abundant number, since it is smaller than the sum of its proper divisors (311850549504).

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

117644541696 is a wasteful number, since it uses less digits than its factorization.

117644541696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 174 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 117644541696 in words is "one hundred seventeen billion, six hundred forty-four million, five hundred forty-one thousand, six hundred ninety-six".