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10522967904 = 2534171912569
BaseRepresentation
bin10011100110011011…
…11011111101100000
31000011100211011020000
421303031323331200
5133022334433104
64500103420000
7521524515501
oct116315737540
930140734200
1010522967904
11450aa39599
122058154600
13cb9154837
1471b7b6ba8
15418c61639
hex27337bf60

10522967904 has 240 divisors, whose sum is σ = 34495599600. Its totient is φ = 3127320576.

The previous prime is 10522967899. The next prime is 10522967929. The reversal of 10522967904 is 40976922501.

It is a super-2 number, since 2×105229679042 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10522967904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 830932 + ... + 843500.

It is an arithmetic number, because the mean of its divisors is an integer number (143731665).

Almost surely, 210522967904 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 10522967904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17247799800).

10522967904 is an abundant number, since it is smaller than the sum of its proper divisors (23972631696).

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

10522967904 is a wasteful number, since it uses less digits than its factorization.

10522967904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12627 (or 12610 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 10522967904 in words is "ten billion, five hundred twenty-two million, nine hundred sixty-seven thousand, nine hundred four".