Search a number
-
+
10137156260 = 225721119431151
BaseRepresentation
bin10010111000011100…
…01011101010100100
3222011110211220010212
421130032023222210
5131230103000020
64353522234552
7506131256300
oct113416135244
928143756125
1010137156260
1143321845a0
121b6aab5a58
13c5724031a
146c2466d00
153e4e51cc5
hex25c38baa4

10137156260 has 288 divisors, whose sum is σ = 29123297280. Its totient is φ = 2921184000.

The previous prime is 10137156199. The next prime is 10137156269. The reversal of 10137156260 is 6265173101.

It is not an unprimeable number, because it can be changed into a prime (10137156269) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8806685 + ... + 8807835.

It is an arithmetic number, because the mean of its divisors is an integer number (101122560).

Almost surely, 210137156260 is an apocalyptic number.

10137156260 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 10137156260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14561648640).

10137156260 is an abundant number, since it is smaller than the sum of its proper divisors (18986141020).

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

10137156260 is a wasteful number, since it uses less digits than its factorization.

10137156260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The spelling of 10137156260 in words is "ten billion, one hundred thirty-seven million, one hundred fifty-six thousand, two hundred sixty".