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522013097088 = 27327230412
BaseRepresentation
bin1111001100010100110…
…01111011110010000000
31211220101222201220112200
413212022121323302000
532023040323101323
61035450504153200
752466654054100
oct7461231736200
91756358656480
10522013097088
1119142586a11a
1285205168800
133a2c1907202
141b3a0a13200
15d8a349c443
hex798a67bc80

522013097088 has 216 divisors, whose sum is σ = 1747970364465. Its totient is φ = 149097553920.

The previous prime is 522013097083. The next prime is 522013097101. The reversal of 522013097088 is 880790310225.

It is a happy number.

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.

522013097088 is a `hidden beast` number, since 522 + 0 + 1 + 30 + 97 + 0 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 335741442624 + 186271654464 = 579432^2 + 431592^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=510888.

It is not an unprimeable number, because it can be changed into a prime (522013097083) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 171656848 + ... + 171659888.

Almost surely, 2522013097088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 522013097088

522013097088 is an abundant number, since it is smaller than the sum of its proper divisors (1225957267377).

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

522013097088 is an frugal number, since it uses more digits than its factorization.

522013097088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6116 (or 3053 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 522013097088 in words is "five hundred twenty-two billion, thirteen million, ninety-seven thousand, eighty-eight".