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10568432640 = 210352332953
BaseRepresentation
bin10011101011110110…
…10111110000000000
31000021112101000010010
421311323113300000
5133121004321030
64504410104520
7522616123653
oct116573276000
930245330103
1010568432640
114533671957
12206b41b140
13cc56b284c
1472384d89a
1541cc426b0
hex275ed7c00

10568432640 has 176 divisors, whose sum is σ = 33959042208. Its totient is φ = 2805202944.

The previous prime is 10568432639. The next prime is 10568432657. The reversal of 10568432640 is 4623486501.

10568432640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×105684326404 (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3577404 + ... + 3580356.

Almost surely, 210568432640 is an apocalyptic number.

10568432640 is a gapful number since it is divisible by the number (10) 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 10568432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16979521104).

10568432640 is an abundant number, since it is smaller than the sum of its proper divisors (23390609568).

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

10568432640 is a wasteful number, since it uses less digits than its factorization.

10568432640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3214 (or 3196 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 10568432640 in words is "ten billion, five hundred sixty-eight million, four hundred thirty-two thousand, six hundred forty".