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20613364704 = 253423345769
BaseRepresentation
bin10011001100101001…
…101111101111100000
31222012120200102110000
4103030221233233200
5314204010132304
613245235540000
71326550465122
oct231451575740
958176612400
1020613364704
118818785aa9
123bb345a600
131c367a272a
14dd794b212
15809a28939
hex4cca6fbe0

20613364704 has 120 divisors (see below), whose sum is σ = 63259313040. Its totient is φ = 6572358144.

The previous prime is 20613364703. The next prime is 20613364711. The reversal of 20613364704 is 40746331602.

It is a happy number.

20613364704 is a `hidden beast` number, since 2 + 0 + 6 + 1 + 3 + 3 + 647 + 0 + 4 = 666.

It is a super-2 number, since 2×206133647042 (a number of 21 digits) contains 22 as substring.

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 (20613364703) by changing a digit.

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, 113269 + ... + 232500.

It is an arithmetic number, because the mean of its divisors is an integer number (527160942).

Almost surely, 220613364704 is an apocalyptic number.

20613364704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20613364704 is an abundant number, since it is smaller than the sum of its proper divisors (42645948336).

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

20613364704 is a wasteful number, since it uses less digits than its factorization.

20613364704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345814 (or 345797 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 20613364704 in words is "twenty billion, six hundred thirteen million, three hundred sixty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 108 138 144 162 184 207 216 276 288 324 368 414 432 552 621 648 736 828 864 1104 1242 1296 1656 1863 2208 2484 2592 3312 3726 4968 6624 7452 9936 14904 19872 29808 59616 345769 691538 1037307 1383076 2074614 2766152 3111921 4149228 5532304 6223842 7952687 8298456 9335763 11064608 12447684 15905374 16596912 18671526 23858061 24895368 28007289 31810748 33193824 37343052 47716122 49790736 56014578 63621496 71574183 74686104 95432244 99581472 112029156 127242992 143148366 149372208 190864488 214722549 224058312 254485984 286296732 298744416 381728976 429445098 448116624 572593464 644167647 763457952 858890196 896233248 1145186928 1288335294 1717780392 2290373856 2576670588 3435560784 5153341176 6871121568 10306682352 20613364704