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426996119160 = 2333513311317489
BaseRepresentation
bin1100011011010101111…
…00111011011001111000
31111211011002112022112000
412031222330323121320
523443442001303120
6524054224421000
742564235061532
oct6155274733170
91454132468460
10426996119160
111550a71a5286
126a908177760
133135b590650
14169496b4852
15b191963990
hex636af3b678

426996119160 has 512 divisors, whose sum is σ = 1594543104000. Its totient is φ = 100926259200.

The previous prime is 426996119113. The next prime is 426996119167. The reversal of 426996119160 is 61911699624.

426996119160 is a `hidden beast` number, since 4 + 2 + 6 + 9 + 9 + 611 + 9 + 16 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 426996119097 and 426996119106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426996119167) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 57012696 + ... + 57020184.

It is an arithmetic number, because the mean of its divisors is an integer number (3114342000).

Almost surely, 2426996119160 is an apocalyptic number.

426996119160 is a gapful number since it is divisible by the number (40) 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 426996119160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797271552000).

426996119160 is an abundant number, since it is smaller than the sum of its proper divisors (1167546984840).

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

426996119160 is a wasteful number, since it uses less digits than its factorization.

426996119160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7684 (or 7674 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 426996119160 in words is "four hundred twenty-six billion, nine hundred ninety-six million, one hundred nineteen thousand, one hundred sixty".