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426166661624 = 231119232539091
BaseRepresentation
bin1100011001110011000…
…00110011000111111000
31111202000021202111200112
412030321200303013320
523440242131132444
6523440034323452
742534543566144
oct6147140630770
91452007674615
10426166661624
11154810a74590
126a716429588
1331258795682
14168ab47c224
15b143c1d69e
hex63398331f8

426166661624 has 192 divisors, whose sum is σ = 977419094400. Its totient is φ = 172206777600.

The previous prime is 426166661617. The next prime is 426166661633.

426166661624 is nontrivially palindromic in base 10.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46873319 + ... + 46882409.

It is an arithmetic number, because the mean of its divisors is an integer number (5090724450).

Almost surely, 2426166661624 is an apocalyptic number.

426166661624 is a gapful number since it is divisible by the number (44) 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 426166661624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488709547200).

426166661624 is an abundant number, since it is smaller than the sum of its proper divisors (551252432776).

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

426166661624 is a wasteful number, since it uses less digits than its factorization.

426166661624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9226 (or 9199 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 50.

The spelling of 426166661624 in words is "four hundred twenty-six billion, one hundred sixty-six million, six hundred sixty-one thousand, six hundred twenty-four".