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117787664475864 = 233229991129743889
BaseRepresentation
bin11010110010000010010011…
…111001100110011011011000
3120110001101112212011221112200
4122302002103321212123120
5110414313114101211424
61054302523412410200
733544610062411635
oct3262022371463330
9513041485157480
10117787664475864
1134592516973389
1211264056616960
135095438056636
142112d4c10118c
15d93dda2a88c9
hex6b2093e666d8

117787664475864 has 192 divisors, whose sum is σ = 330603777504000. Its totient is φ = 37840359997440.

The previous prime is 117787664475839. The next prime is 117787664475907. The reversal of 117787664475864 is 468574466787711.

117787664475864 is a `hidden beast` number, since 1 + 1 + 7 + 7 + 8 + 7 + 6 + 64 + 475 + 86 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2683740832 + ... + 2683784720.

It is an arithmetic number, because the mean of its divisors is an integer number (1721894674500).

Almost surely, 2117787664475864 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 117787664475864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165301888752000).

117787664475864 is an abundant number, since it is smaller than the sum of its proper divisors (212816113028136).

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

117787664475864 is a wasteful number, since it uses less digits than its factorization.

117787664475864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46218 (or 46211 counting only the distinct ones).

The product of its digits is 10621255680, while the sum is 81.

The spelling of 117787664475864 in words is "one hundred seventeen trillion, seven hundred eighty-seven billion, six hundred sixty-four million, four hundred seventy-five thousand, eight hundred sixty-four".