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10014271260 = 22357173737907
BaseRepresentation
bin10010101001110010…
…11010011100011100
3221211220121200121120
421110321122130130
5131002123140020
64333412330540
7503106621060
oct112471323434
927756550546
1010014271260
114279882244
121b35913a50
13c379461c6
146addd9aa0
153d927b740
hex254e5a71c

10014271260 has 192 divisors, whose sum is σ = 34848672768. Its totient is φ = 2096050176.

The previous prime is 10014271259. The next prime is 10014271283. The reversal of 10014271260 is 6217241001.

10014271260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10014271260.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 245227 + ... + 283133.

It is an arithmetic number, because the mean of its divisors is an integer number (181503504).

Almost surely, 210014271260 is an apocalyptic number.

10014271260 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 10014271260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17424336384).

10014271260 is an abundant number, since it is smaller than the sum of its proper divisors (24834401508).

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

10014271260 is a wasteful number, since it uses less digits than its factorization.

10014271260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37980 (or 37978 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The spelling of 10014271260 in words is "ten billion, fourteen million, two hundred seventy-one thousand, two hundred sixty".