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10530486720 = 26325133143211
BaseRepresentation
bin10011100111010101…
…00111100111000000
31000011212222011002200
421303222213213000
5133031301033340
64500532513200
7521645442315
oct116352474700
930155864080
1010530486720
114514204596
12205a77b800
13cba887c40
1471c7b2d0c
15419749330
hex273aa79c0

10530486720 has 672 divisors, whose sum is σ = 41396619264. Its totient is φ = 2438553600.

The previous prime is 10530486709. The next prime is 10530486721. The reversal of 10530486720 is 2768403501.

10530486720 is a `hidden beast` number, since 1 + 0 + 530 + 48 + 67 + 20 = 666.

10530486720 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-2 number, since 2×105304867202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10530486721) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 49907415 + ... + 49907625.

It is an arithmetic number, because the mean of its divisors is an integer number (61602112).

Almost surely, 210530486720 is an apocalyptic number.

10530486720 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 10530486720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20698309632).

10530486720 is an abundant number, since it is smaller than the sum of its proper divisors (30866132544).

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

10530486720 is a wasteful number, since it uses less digits than its factorization.

10530486720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10530486720 in words is "ten billion, five hundred thirty million, four hundred eighty-six thousand, seven hundred twenty".