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20335900816 = 24721124632
BaseRepresentation
bin10010111100000111…
…010011100010010000
31221111020120210112201
4102330013103202100
5313121442311231
613201524532544
71316641206400
oct227407234220
957436523481
1020335900816
1186960a4300
123b36551154
131bc116550a
14dacb62800
157e04bc161
hex4bc1d3890

20335900816 has 135 divisors (see below), whose sum is σ = 50488118163. Its totient is φ = 7905965760.

The previous prime is 20335900801. The next prime is 20335900829. The reversal of 20335900816 is 61800953302.

The square root of 20335900816 is 142604.

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

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, 43921801 + ... + 43922263.

Almost surely, 220335900816 is an apocalyptic number.

20335900816 is the 142604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20335900816

20335900816 is an abundant number, since it is smaller than the sum of its proper divisors (30152217347).

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

20335900816 is an equidigital number, since it uses as much as digits as its factorization.

20335900816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 20335900816 in words is "twenty billion, three hundred thirty-five million, nine hundred thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 121 154 176 196 242 308 392 463 484 539 616 784 847 926 968 1078 1232 1694 1852 1936 2156 3241 3388 3704 4312 5093 5929 6482 6776 7408 8624 10186 11858 12964 13552 20372 22687 23716 25928 35651 40744 45374 47432 51856 56023 71302 81488 90748 94864 112046 142604 181496 214369 224092 249557 285208 362992 392161 428738 448184 499114 570416 784322 857476 896368 998228 1500583 1568644 1714952 1996456 2358059 2745127 3001166 3137288 3429904 3992912 4716118 5490254 6002332 6274576 9432236 10504081 10980508 12004664 16506413 18864472 21008162 21961016 24009328 25938649 33012826 37728944 42016324 43922032 51877298 66025652 84032648 103754596 115544891 132051304 168065296 181570543 207509192 231089782 264102608 363141086 415018384 462179564 726282172 924359128 1270993801 1452564344 1848718256 2541987602 2905128688 5083975204 10167950408 20335900816