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18924404356 = 22112134372
BaseRepresentation
bin10001100111111110…
…110111111010000100
31210211212121100102001
4101213332313322010
5302224121414411
612405503355044
71236651532354
oct214776677204
953755540361
1018924404356
118031373100
1238018b2a84
131a278c0000
14cb74dab64
1575b605dc1
hex467fb7e84

18924404356 has 135 divisors (see below), whose sum is σ = 40530141897. Its totient is φ = 7725706560.

The previous prime is 18924404353. The next prime is 18924404363. The reversal of 18924404356 is 65340442981.

The square root of 18924404356 is 137566.

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

It can be written as a sum of positive squares in 7 ways, for example, as 15205356100 + 3719048256 = 123310^2 + 60984^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18924404353) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 511470370 + ... + 511470406.

Almost surely, 218924404356 is an apocalyptic number.

18924404356 is the 137566-th square number.

It is an amenable number.

18924404356 is an abundant number, since it is smaller than the sum of its proper divisors (21605737541).

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

18924404356 is an equidigital number, since it uses as much as digits as its factorization.

18924404356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 18924404356 in words is "eighteen billion, nine hundred twenty-four million, four hundred four thousand, three hundred fifty-six".

Divisors: 1 2 4 11 13 22 26 37 44 52 74 121 143 148 169 242 286 338 407 481 484 572 676 814 962 1369 1573 1628 1859 1924 2197 2738 3146 3718 4394 4477 5291 5476 6253 6292 7436 8788 8954 10582 12506 15059 17797 17908 20449 21164 24167 25012 28561 30118 35594 40898 48334 57122 58201 60236 68783 71188 81289 81796 96668 114244 116402 137566 162578 165649 195767 231361 232804 265837 275132 314171 325156 331298 391534 462722 531674 628342 662596 756613 783068 894179 925444 1056757 1063348 1256684 1513226 1788358 2113514 2153437 2544971 3007693 3026452 3455881 3576716 4227028 4306874 5089942 6015386 6911762 8613748 9835969 10179884 11624327 12030772 13823524 19671938 23248654 27994681 33084623 39100009 39343876 46497308 55989362 66169246 78200018 111978724 127867597 132338492 156400036 255735194 363930853 430100099 511470388 727861706 860200198 1455723412 1720400396 4731101089 9462202178 18924404356