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426565198080 = 28335723312473
BaseRepresentation
bin1100011010100010100…
…01000110000100000000
31111210001001200020221000
412031101101012010000
523442101142314310
6523543352332000
742550453234050
oct6152121060400
91453031606830
10426565198080
111549a5a2a95a
126a8079a4000
13312c0213a68
1416908381560
15b168be34c0
hex6351446100

426565198080 has 1152 divisors, whose sum is σ = 1864159395840. Its totient is φ = 90216529920.

The previous prime is 426565198063. The next prime is 426565198099. The reversal of 426565198080 is 80891565624.

426565198080 is a `hidden beast` number, since 42 + 6 + 5 + 6 + 519 + 8 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 172487724 + ... + 172490196.

It is an arithmetic number, because the mean of its divisors is an integer number (1618193920).

Almost surely, 2426565198080 is an apocalyptic number.

426565198080 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 426565198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932079697920).

426565198080 is an abundant number, since it is smaller than the sum of its proper divisors (1437594197760).

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

426565198080 is a wasteful number, since it uses less digits than its factorization.

426565198080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2564 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 426565198080 in words is "four hundred twenty-six billion, five hundred sixty-five million, one hundred ninety-eight thousand, eighty".