Search a number
-
+
25564831020 = 22325379374741
BaseRepresentation
bin10111110011110010…
…000101110100101100
32102222122201222022100
4113303302011310230
5404324044043040
615424435015100
71563343323021
oct276362056454
972878658270
1025564831020
11a929753a23
124b5573a490
13254556a461
1413473b7548
159e9594b30
hex5f3c85d2c

25564831020 has 72 divisors (see below), whose sum is σ = 77751470160. Its totient is φ = 6799282560.

The previous prime is 25564831001. The next prime is 25564831031. The reversal of 25564831020 is 2013846552.

25564831020 is a `hidden beast` number, since 2 + 5 + 5 + 648 + 3 + 1 + 0 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119151 + ... + 255590.

It is an arithmetic number, because the mean of its divisors is an integer number (1079881530).

Almost surely, 225564831020 is an apocalyptic number.

25564831020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25564831020 is an abundant number, since it is smaller than the sum of its proper divisors (52186639140).

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

25564831020 is a wasteful number, since it uses less digits than its factorization.

25564831020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375135 (or 375130 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 25564831020 in words is "twenty-five billion, five hundred sixty-four million, eight hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 379 758 1137 1516 1895 2274 3411 3790 4548 5685 6822 7580 11370 13644 17055 22740 34110 68220 374741 749482 1124223 1498964 1873705 2248446 3372669 3747410 4496892 5621115 6745338 7494820 11242230 13490676 16863345 22484460 33726690 67453380 142026839 284053678 426080517 568107356 710134195 852161034 1278241551 1420268390 1704322068 2130402585 2556483102 2840536780 4260805170 5112966204 6391207755 8521610340 12782415510 25564831020