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18923854096 = 2472176
BaseRepresentation
bin10001100111111100…
…110001100100010000
31210211211120101121001
4101213330301210100
5302224001312341
612405443511344
71236644051200
oct214774614420
953754511531
1018923854096
118031027744
123801688554
131a27759704
14cb73d6400
1575b547d31
hex467f31910

18923854096 has 105 divisors (see below), whose sum is σ = 45316777089. Its totient is φ = 7633151232.

The previous prime is 18923854067. The next prime is 18923854109. The reversal of 18923854096 is 69045832981.

The square root of 18923854096 is 137564.

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

It can be written as a sum of positive squares in 3 ways, for example, as 192099600 + 18731754496 = 13860^2 + 136864^2 .

It is a super-2 number, since 2×189238540962 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1113167880 + ... + 1113167896.

Almost surely, 218923854096 is an apocalyptic number.

18923854096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18923854096 is the 137564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18923854096

18923854096 is an abundant number, since it is smaller than the sum of its proper divisors (26392922993).

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

18923854096 is an frugal number, since it uses more digits than its factorization.

18923854096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 55.

The spelling of 18923854096 in words is "eighteen billion, nine hundred twenty-three million, eight hundred fifty-four thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 119 136 196 238 272 289 392 476 578 784 833 952 1156 1666 1904 2023 2312 3332 4046 4624 4913 6664 8092 9826 13328 14161 16184 19652 28322 32368 34391 39304 56644 68782 78608 83521 113288 137564 167042 226576 240737 275128 334084 481474 550256 584647 668168 962948 1169294 1336336 1419857 1925896 2338588 2839714 3851792 4092529 4677176 5679428 8185058 9354352 9938999 11358856 16370116 19877998 22717712 24137569 32740232 39755996 48275138 65480464 69572993 79511992 96550276 139145986 159023984 168962983 193100552 278291972 337925966 386201104 556583944 675851932 1113167888 1182740881 1351703864 2365481762 2703407728 4730963524 9461927048 18923854096