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166315061376 = 27336173101107
BaseRepresentation
bin1001101011100100100…
…1100111000010000000
3120220021210010111122000
42122321021213002000
510211103123431001
6204223140544000
715005304460602
oct2327111470200
9526253114560
10166315061376
1164596575252
12282966b2000
13128b66a7a29
14809a4d7172
1544d60aba86
hex26b9267080

166315061376 has 512 divisors, whose sum is σ = 515522361600. Its totient is φ = 52752384000.

The previous prime is 166315061347. The next prime is 166315061399. The reversal of 166315061376 is 673160513661.

It is a happy number.

166315061376 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 1 + 506 + 137 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1554346315 + ... + 1554346421.

Almost surely, 2166315061376 is an apocalyptic number.

166315061376 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 166315061376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257761180800).

166315061376 is an abundant number, since it is smaller than the sum of its proper divisors (349207300224).

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

166315061376 is a wasteful number, since it uses less digits than its factorization.

166315061376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 166315061376 in words is "one hundred sixty-six billion, three hundred fifteen million, sixty-one thousand, three hundred seventy-six".