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20663066304 = 263423317107
BaseRepresentation
bin10011001111100111…
…010101111011000000
31222100001012112020000
4103033213111323000
5314304221110204
613254213120000
71331023110546
oct231747257300
958301175200
1020663066304
118843842601
124008029000
131c43b8506a
1410003a7d96
1580e095039
hex4cf9d5ec0

20663066304 has 140 divisors (see below), whose sum is σ = 61518280824. Its totient is φ = 6857726976.

The previous prime is 20663066269. The next prime is 20663066321. The reversal of 20663066304 is 40366036602.

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 19 ways as a sum of consecutive naturals, for example, 1199319 + ... + 1216425.

Almost surely, 220663066304 is an apocalyptic number.

20663066304 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 20663066304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30759140412).

20663066304 is an abundant number, since it is smaller than the sum of its proper divisors (40855214520).

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

20663066304 is a wasteful number, since it uses less digits than its factorization.

20663066304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17364 (or 17345 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 20663066304 in words is "twenty billion, six hundred sixty-three million, sixty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 233 288 324 432 466 576 648 699 864 932 1296 1398 1728 1864 2097 2592 2796 3728 4194 5184 5592 6291 7456 8388 11184 12582 14912 16776 17107 18873 22368 25164 33552 34214 37746 44736 50328 51321 67104 68428 75492 100656 102642 134208 136856 150984 153963 201312 205284 273712 301968 307926 402624 410568 461889 547424 603936 615852 821136 923778 1094848 1207872 1231704 1385667 1642272 1847556 2463408 2771334 3284544 3695112 3985931 4926816 5542668 7390224 7971862 9853632 11085336 11957793 14780448 15943724 22170672 23915586 29560896 31887448 35873379 44341344 47831172 63774896 71746758 88682688 95662344 107620137 127549792 143493516 191324688 215240274 255099584 286987032 322860411 382649376 430480548 573974064 645720822 765298752 860961096 1147948128 1291441644 1721922192 2295896256 2582883288 3443844384 5165766576 6887688768 10331533152 20663066304