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10059188590 = 2511241919841
BaseRepresentation
bin10010101111001001…
…10000100101101110
3221222001010201121101
421113210300211232
5131100123013330
64342055153314
7504163456303
oct112744604556
927861121541
1010059188590
1142a2171300
121b4897583a
13c44041cc9
146b5d6d0aa
153dd1a04ca
hex25793096e

10059188590 has 48 divisors (see below), whose sum is σ = 19950734160. Its totient is φ = 3648972800.

The previous prime is 10059188551. The next prime is 10059188641. The reversal of 10059188590 is 9588195001.

10059188590 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10059188590.

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 23 ways as a sum of consecutive naturals, for example, 497070 + ... + 516910.

It is an arithmetic number, because the mean of its divisors is an integer number (415640295).

Almost surely, 210059188590 is an apocalyptic number.

10059188590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10059188590 is a deficient number, since it is larger than the sum of its proper divisors (9891545570).

10059188590 is a wasteful number, since it uses less digits than its factorization.

10059188590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20289 (or 20278 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 46.

The spelling of 10059188590 in words is "ten billion, fifty-nine million, one hundred eighty-eight thousand, five hundred ninety".

Divisors: 1 2 5 10 11 22 55 110 121 242 419 605 838 1210 2095 4190 4609 9218 19841 23045 39682 46090 50699 99205 101398 198410 218251 253495 436502 506990 1091255 2182510 2400761 4801522 8313379 12003805 16626758 24007610 41566895 83133790 91447169 182894338 457235845 914471690 1005918859 2011837718 5029594295 10059188590