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426552285960 = 23325311012231697
BaseRepresentation
bin1100011010100000111…
…11110101101100001000
31111210000011101020211100
412031100133311230020
523442034341122320
6523542211501400
742550235415303
oct6152037655410
91453004336740
10426552285960
11154999710889
126a8035b7860
13312ba642858
141690677db3a
15b1679e2790
hex63507f5b08

426552285960 has 384 divisors, whose sum is σ = 1452518645760. Its totient is φ = 108435456000.

The previous prime is 426552285941. The next prime is 426552286001. The reversal of 426552285960 is 69582255624.

It is a happy number.

426552285960 is a `hidden beast` number, since 4 + 2 + 6 + 5 + 522 + 8 + 59 + 60 = 666.

It is a super-2 number, since 2×4265522859602 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 426552285897 and 426552285906.

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 95 ways as a sum of consecutive naturals, for example, 251355832 + ... + 251357528.

It is an arithmetic number, because the mean of its divisors is an integer number (3782600640).

Almost surely, 2426552285960 is an apocalyptic number.

426552285960 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 426552285960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726259322880).

426552285960 is an abundant number, since it is smaller than the sum of its proper divisors (1025966359800).

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

426552285960 is a wasteful number, since it uses less digits than its factorization.

426552285960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 426552285960 in words is "four hundred twenty-six billion, five hundred fifty-two million, two hundred eighty-five thousand, nine hundred sixty".