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20420536248 = 23327127319031
BaseRepresentation
bin10011000001001010…
…001010011110111000
31221201010211201112100
4103001022022132320
5313310124124443
613214150543400
71322016460050
oct230112123670
957633751470
1020420536248
118729951142
123b5a967b60
131c05859758
14dba0b4560
157e7b393d3
hex4c128a7b8

20420536248 has 96 divisors (see below), whose sum is σ = 63704309760. Its totient is φ = 5788480320.

The previous prime is 20420536247. The next prime is 20420536249. The reversal of 20420536248 is 84263502402.

20420536248 is a `hidden beast` number, since 2 + 0 + 4 + 20 + 5 + 3 + 624 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (20420536247) and next prime (20420536249).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20420536247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95508 + ... + 223523.

It is an arithmetic number, because the mean of its divisors is an integer number (663586560).

Almost surely, 220420536248 is an apocalyptic number.

20420536248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20420536248 is an abundant number, since it is smaller than the sum of its proper divisors (43283773512).

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

20420536248 is a wasteful number, since it uses less digits than its factorization.

20420536248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319177 (or 319170 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 20420536248 in words is "twenty billion, four hundred twenty million, five hundred thirty-six thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 127 168 252 254 381 504 508 762 889 1016 1143 1524 1778 2286 2667 3048 3556 4572 5334 7112 8001 9144 10668 16002 21336 32004 64008 319031 638062 957093 1276124 1914186 2233217 2552248 2871279 3828372 4466434 5742558 6699651 7656744 8932868 11485116 13399302 17865736 20098953 22970232 26798604 40197906 40516937 53597208 80395812 81033874 121550811 160791624 162067748 243101622 283618559 324135496 364652433 486203244 567237118 729304866 850855677 972406488 1134474236 1458609732 1701711354 2268948472 2552567031 2917219464 3403422708 5105134062 6806845416 10210268124 20420536248