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10532539864 = 23711273107199
BaseRepresentation
bin10011100111100100…
…11100110111011000
31000012000211110111001
421303302130313120
5133032312233424
64501044514344
7522002053210
oct116362346730
930160743431
1010532539864
114515387100
12205b3ab9b4
13cbb126612
1471cb89240
15419a02844
hex273c9cdd8

10532539864 has 192 divisors, whose sum is σ = 25510464000. Its totient is φ = 3989399040.

The previous prime is 10532539859. The next prime is 10532539877. The reversal of 10532539864 is 46893523501.

It is a super-2 number, since 2×105325398642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 52927237 + ... + 52927435.

It is an arithmetic number, because the mean of its divisors is an integer number (132867000).

Almost surely, 210532539864 is an apocalyptic number.

10532539864 is a gapful number since it is divisible by the number (14) 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 10532539864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12755232000).

10532539864 is an abundant number, since it is smaller than the sum of its proper divisors (14977924136).

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

10532539864 is a wasteful number, since it uses less digits than its factorization.

10532539864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 46.

The spelling of 10532539864 in words is "ten billion, five hundred thirty-two million, five hundred thirty-nine thousand, eight hundred sixty-four".