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10529809920 = 29335723109
BaseRepresentation
bin10011100111010000…
…00010011000000000
31000011211200202201000
421303220002120000
5133031112404140
64500510212000
7521636623200
oct116350023000
930154622630
1010529809920
114513892053
12205a4b4000
13cba6abb76
1471c678400
15419663a30
hex273a02600

10529809920 has 480 divisors, whose sum is σ = 43523330400. Its totient is φ = 2406039552.

The previous prime is 10529809889. The next prime is 10529809951. The reversal of 10529809920 is 2990892501.

10529809920 is a `hidden beast` number, since 10 + 529 + 8 + 0 + 99 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (10529809889) and next prime (10529809951).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×105298099202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3385326 + ... + 3388434.

It is an arithmetic number, because the mean of its divisors is an integer number (90673605).

Almost surely, 210529809920 is an apocalyptic number.

10529809920 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 10529809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21761665200).

10529809920 is an abundant number, since it is smaller than the sum of its proper divisors (32993520480).

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

10529809920 is an equidigital number, since it uses as much as digits as its factorization.

10529809920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3155 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 10529809920 in words is "ten billion, five hundred twenty-nine million, eight hundred nine thousand, nine hundred twenty".