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18800797456 = 2472592832
BaseRepresentation
bin10001100000100111…
…010110011100010000
31210112021000110121201
4101200213112130100
5302001001004311
612345330200544
71233621066400
oct214047263420
953467013551
1018800797456
117a78618441
123788423154
131a0810242c
14ca4d22800
1575083b9c1
hex4609d6710

18800797456 has 135 divisors (see below), whose sum is σ = 43629691431. Its totient is φ = 7825484352.

The previous prime is 18800797453. The next prime is 18800797481. The reversal of 18800797456 is 65479700881.

The square root of 18800797456 is 137116.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 18800797397 and 18800797406.

It is not an unprimeable number, because it can be changed into a prime (18800797453) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 226515591 + ... + 226515673.

Almost surely, 218800797456 is an apocalyptic number.

18800797456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18800797456 is the 137116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18800797456

18800797456 is an abundant number, since it is smaller than the sum of its proper divisors (24828893975).

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

18800797456 is an frugal number, since it uses more digits than its factorization.

18800797456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 55.

The spelling of 18800797456 in words is "eighteen billion, eight hundred million, seven hundred ninety-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 59 83 98 112 118 166 196 236 332 392 413 472 581 664 784 826 944 1162 1328 1652 2324 2891 3304 3481 4067 4648 4897 5782 6608 6889 6962 8134 9296 9794 11564 13778 13924 16268 19588 23128 24367 27556 27848 32536 34279 39176 46256 48223 48734 55112 55696 65072 68558 78352 96446 97468 110224 137116 170569 192892 194936 239953 274232 288923 337561 341138 385784 389872 406451 479906 548464 577846 675122 682276 771568 812902 959812 1155692 1350244 1364552 1625804 1919624 2022461 2311384 2700488 2729104 2845157 3251608 3839248 4044922 4622768 5400976 5690314 6503216 8089844 11380628 14157227 16179688 19916099 22761256 23980609 28314454 32359376 39832198 45522512 47961218 56628908 79664396 95922436 113257816 159328792 167864263 191844872 226515632 318657584 335728526 383689744 671457052 1175049841 1342914104 2350099682 2685828208 4700199364 9400398728 18800797456