Search a number
-
+
10086627075240 = 23354325164712037
BaseRepresentation
bin1001001011000111100111…
…0100101110010010101000
31022201021100101100122000110
42102301321310232102220
52310224403012401430
633241422115534320
72060510010341052
oct222617164562250
938637311318013
1010086627075240
113239795031891
12116aa32bba3a0
1358221b244621
1426c2a40aa8d2
1512759a1147b0
hex92c79d2e4a8

10086627075240 has 256 divisors, whose sum is σ = 31137594808320. Its totient is φ = 2612486016000.

The previous prime is 10086627075227. The next prime is 10086627075247. The reversal of 10086627075240 is 4257072668001.

It is a self number, because there is not a number n which added to its sum of digits gives 10086627075240.

It is not an unprimeable number, because it can be changed into a prime (10086627075247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 837962502 + ... + 837974538.

It is an arithmetic number, because the mean of its divisors is an integer number (121631229720).

Almost surely, 210086627075240 is an apocalyptic number.

10086627075240 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 10086627075240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15568797404160).

10086627075240 is an abundant number, since it is smaller than the sum of its proper divisors (21050967733080).

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

10086627075240 is a wasteful number, since it uses less digits than its factorization.

10086627075240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12992 (or 12988 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 10086627075240 in words is "ten trillion, eighty-six billion, six hundred twenty-seven million, seventy-five thousand, two hundred forty".