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20553236496 = 24321329192
BaseRepresentation
bin10011001001000100…
…011000000000010000
31222001101112121001100
4103021010120000100
5314043112031441
613235251104400
71325220425202
oct231104300020
958041477040
1020553236496
118797847871
123b972a2100
131c271ac300
14dcd978772
158045eccb6
hex4c9118010

20553236496 has 135 divisors (see below), whose sum is σ = 62353378269. Its totient is φ = 6317191296.

The previous prime is 20553236467. The next prime is 20553236503. The reversal of 20553236496 is 69463235502.

The square root of 20553236496 is 143364.

It is a perfect power (a square), and thus also a powerful number.

20553236496 is a `hidden beast` number, since 2 + 0 + 553 + 2 + 3 + 6 + 4 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3040419600 + 17512816896 = 55140^2 + 132336^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22364325 + ... + 22365243.

Almost surely, 220553236496 is an apocalyptic number.

20553236496 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

20553236496 is the 143364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20553236496

20553236496 is an abundant number, since it is smaller than the sum of its proper divisors (41800141773).

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

20553236496 is an equidigital number, since it uses as much as digits as its factorization.

20553236496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

It can be divided in two parts, 20553 and 236496, that added together give a square (257049 = 5072).

The spelling of 20553236496 in words is "twenty billion, five hundred fifty-three million, two hundred thirty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 919 936 1014 1352 1521 1838 1872 2028 2704 2757 3042 3676 4056 5514 6084 7352 8112 8271 11028 11947 12168 14704 16542 22056 23894 24336 33084 35841 44112 47788 66168 71682 95576 107523 132336 143364 155311 191152 215046 286728 310622 430092 465933 573456 621244 844561 860184 931866 1242488 1397799 1689122 1720368 1863732 2484976 2533683 2795598 3378244 3727464 5067366 5591196 6756488 7454928 7601049 10134732 10979293 11182392 13512976 15202098 20269464 21958586 22364784 30404196 32937879 40538928 43917172 60808392 65875758 87834344 98813637 121616784 131751516 142730809 175668688 197627274 263503032 285461618 395254548 428192427 527006064 570923236 790509096 856384854 1141846472 1284577281 1581018192 1712769708 2283692944 2569154562 3425539416 5138309124 6851078832 10276618248 20553236496