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422552567808 = 2153672192
BaseRepresentation
bin1100010011000100001…
…10001000000000000000
31111101200102012112000000
412021202012020000000
523410341424132213
6522041252000000
742346150364400
oct6114206100000
91441612175000
10422552567808
111532269aa398
1269a88000000
1330b00abc517
14166474a0800
15aed17c5c73
hex6262188000

422552567808 has 1008 divisors, whose sum is σ = 1555583389335. Its totient is φ = 114375131136.

The previous prime is 422552567791. The next prime is 422552567813. The reversal of 422552567808 is 808765255224.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

422552567808 is a `hidden beast` number, since 4 + 2 + 2 + 552 + 5 + 6 + 7 + 80 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 211276283904 + 211276283904 = 459648^2 + 459648^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=459648.

It is a super-2 number, since 2×4225525678082 (a number of 24 digits) contains 22 as substring.

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 62 ways as a sum of consecutive naturals, for example, 22239608823 + ... + 22239608841.

Almost surely, 2422552567808 is an apocalyptic number.

422552567808 is a gapful number since it is divisible by the number (48) 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 422552567808

422552567808 is an abundant number, since it is smaller than the sum of its proper divisors (1133030821527).

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

422552567808 is an frugal number, since it uses more digits than its factorization.

422552567808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 422552567808 in words is "four hundred twenty-two billion, five hundred fifty-two million, five hundred sixty-seven thousand, eight hundred eight".