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10421005640 = 235260525141
BaseRepresentation
bin10011011010010001…
…11110110101001000
3222220020221221021212
421231020332311020
5132320234140030
64442022152252
7516146041433
oct115510766510
928806857255
1010421005640
114468427861
122029b82688
13ca0ca4b36
1470c03481a
1540ed20595
hex26d23ed48

10421005640 has 16 divisors (see below), whose sum is σ = 23447262780. Its totient is φ = 4168402240.

The previous prime is 10421005631. The next prime is 10421005681. The reversal of 10421005640 is 4650012401.

10421005640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10167495556 + 253510084 = 100834^2 + 15922^2 .

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 3 ways as a sum of consecutive naturals, for example, 130262531 + ... + 130262610.

Almost surely, 210421005640 is an apocalyptic number.

10421005640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10421005640 is an abundant number, since it is smaller than the sum of its proper divisors (13026257140).

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

10421005640 is a wasteful number, since it uses less digits than its factorization.

10421005640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260525152 (or 260525148 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The spelling of 10421005640 in words is "ten billion, four hundred twenty-one million, five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 260525141 521050282 1042100564 1302625705 2084201128 2605251410 5210502820 10421005640