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20590479504 = 2433710366107
BaseRepresentation
bin10011001011010010…
…011100100010010000
31222010222121201212000
4103023102130202100
5314132130321004
613243101234000
71326152121330
oct231322344220
958128551760
1020590479504
118806875011
123ba7862900
131c31b1bcaa
14dd48b10c0
15807a07c39
hex4cb49c890

20590479504 has 160 divisors (see below), whose sum is σ = 68202301440. Its totient is φ = 5825789568.

The previous prime is 20590479473. The next prime is 20590479563. The reversal of 20590479504 is 40597409502.

20590479504 is a `hidden beast` number, since 2 + 0 + 590 + 4 + 7 + 9 + 50 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20590479504.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278419 + ... + 344525.

It is an arithmetic number, because the mean of its divisors is an integer number (426264384).

Almost surely, 220590479504 is an apocalyptic number.

20590479504 is a gapful number since it is divisible by the number (24) 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 20590479504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34101150720).

20590479504 is an abundant number, since it is smaller than the sum of its proper divisors (47611821936).

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

20590479504 is a wasteful number, since it uses less digits than its factorization.

20590479504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66234 (or 66222 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 20590479504 in words is "twenty billion, five hundred ninety million, four hundred seventy-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 103 108 112 126 144 168 189 206 216 252 309 336 378 412 432 504 618 721 756 824 927 1008 1236 1442 1512 1648 1854 2163 2472 2781 2884 3024 3708 4326 4944 5562 5768 6489 7416 8652 11124 11536 12978 14832 17304 19467 22248 25956 34608 38934 44496 51912 66107 77868 103824 132214 155736 198321 264428 311472 396642 462749 528856 594963 793284 925498 1057712 1189926 1388247 1586568 1784889 1850996 2379852 2776494 3173136 3569778 3701992 4164741 4759704 5552988 6809021 7139556 7403984 8329482 9519408 11105976 12494223 13618042 14279112 16658964 20427063 22211952 24988446 27236084 28558224 33317928 40854126 47663147 49976892 54472168 61281189 66635856 81708252 95326294 99953784 108944336 122562378 142989441 163416504 183843567 190652588 199907568 245124756 285978882 326833008 367687134 381305176 428968323 490249512 571957764 735374268 762610352 857936646 980499024 1143915528 1286904969 1470748536 1715873292 2287831056 2573809938 2941497072 3431746584 5147619876 6863493168 10295239752 20590479504