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426166514010 = 232523349619953
BaseRepresentation
bin1100011001110011000…
…00001111000101011010
31111202000021111000012100
412030321200033011122
523440242111422020
6523440031224230
742534542412606
oct6147140170532
91452007430170
10426166514010
11154810983696
126a716378076
1331258743423
14168ab440506
15b143bdea90
hex633980f15a

426166514010 has 192 divisors, whose sum is σ = 1162613088000. Its totient is φ = 108103209984.

The previous prime is 426166513951. The next prime is 426166514017. The reversal of 426166514010 is 10415661624.

426166514010 is a `hidden beast` number, since 42 + 6 + 166 + 51 + 401 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (426166514017) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 447183694 + ... + 447184646.

It is an arithmetic number, because the mean of its divisors is an integer number (6055276500).

Almost surely, 2426166514010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426166514010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581306544000).

426166514010 is an abundant number, since it is smaller than the sum of its proper divisors (736446573990).

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

426166514010 is a wasteful number, since it uses less digits than its factorization.

426166514010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 426166514010 in words is "four hundred twenty-six billion, one hundred sixty-six million, five hundred fourteen thousand, ten".