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10445772960 = 25355725483
BaseRepresentation
bin10011011101001110…
…11101100010100000
3222221222120020200000
421232213131202200
5132343104213320
64444305100000
7516566414400
oct115647354240
928858506600
1010445772960
114480403917
122036327600
13ca616715c
14711440800
154120b3c90
hex26e9dd8a0

10445772960 has 432 divisors, whose sum is σ = 43009608096. Its totient is φ = 2387169792.

The previous prime is 10445772959. The next prime is 10445773003. The reversal of 10445772960 is 6927754401.

10445772960 is a `hidden beast` number, since 10 + 4 + 4 + 577 + 2 + 9 + 60 = 666.

10445772960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×104457729602 (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 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 71 ways as a sum of consecutive naturals, for example, 1902379 + ... + 1907861.

It is an arithmetic number, because the mean of its divisors is an integer number (99559278).

Almost surely, 210445772960 is an apocalyptic number.

10445772960 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 10445772960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21504804048).

10445772960 is an abundant number, since it is smaller than the sum of its proper divisors (32563835136).

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

10445772960 is an equidigital number, since it uses as much as digits as its factorization.

10445772960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5527 (or 5500 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 10445772960 in words is "ten billion, four hundred forty-five million, seven hundred seventy-two thousand, nine hundred sixty".