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10663403520 = 21335731123
BaseRepresentation
bin10011110111001011…
…01010000000000000
31000112011002000200010
421323211222000000
5133314312403040
64522041424520
7525151302000
oct117345520000
930464060603
1010663403520
114582238990
12209719b140
13100c285233
147322d2000
15426251e80
hex27b96a000

10663403520 has 896 divisors, whose sum is σ = 45295718400. Its totient is φ = 2119434240.

The previous prime is 10663403479. The next prime is 10663403557. The reversal of 10663403520 is 2530436601.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×106634035202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 463626229 + ... + 463626251.

Almost surely, 210663403520 is an apocalyptic number.

10663403520 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 10663403520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22647859200).

10663403520 is an abundant number, since it is smaller than the sum of its proper divisors (34632314880).

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

10663403520 is an equidigital number, since it uses as much as digits as its factorization.

10663403520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 10663403520 in words is "ten billion, six hundred sixty-three million, four hundred three thousand, five hundred twenty".