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45732677904 = 24327122512
BaseRepresentation
bin101010100101111000…
…010100100100010000
311101001012002202012100
4222211320110210100
51222130031143104
633002002000400
73206204230314
oct524570244420
9141035082170
1045732677904
11184389a4881
128a43946100
13440a952374
1422dbab1b44
1512c9e18139
hexaa5e14910

45732677904 has 135 divisors (see below), whose sum is σ = 130335273367. Its totient is φ = 14969640000.

The previous prime is 45732677797. The next prime is 45732677911. The reversal of 45732677904 is 40977623754.

The square root of 45732677904 is 213852.

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

45732677904 is a `hidden beast` number, since 4 + 573 + 2 + 67 + 7 + 9 + 0 + 4 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 182201779 + ... + 182202029.

Almost surely, 245732677904 is an apocalyptic number.

45732677904 is the 213852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45732677904

45732677904 is an abundant number, since it is smaller than the sum of its proper divisors (84602595463).

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

45732677904 is an equidigital number, since it uses as much as digits as its factorization.

45732677904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 45732677904 in words is "forty-five billion, seven hundred thirty-two million, six hundred seventy-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 251 284 426 502 568 639 753 852 1004 1136 1278 1506 1704 2008 2259 2556 3012 3408 4016 4518 5041 5112 6024 9036 10082 10224 12048 15123 17821 18072 20164 30246 35642 36144 40328 45369 53463 60492 63001 71284 80656 90738 106926 120984 126002 142568 160389 181476 189003 213852 241968 252004 285136 320778 362952 378006 427704 504008 567009 641556 725904 756012 855408 1008016 1134018 1265291 1283112 1512024 2268036 2530582 2566224 3024048 3795873 4473071 4536072 5061164 7591746 8946142 9072144 10122328 11387619 13419213 15183492 17892284 20244656 22775238 26838426 30366984 35784568 40257639 45550476 53676852 60733968 71569136 80515278 91100952 107353704 161030556 182201904 214707408 317588041 322061112 635176082 644122224 952764123 1270352164 1905528246 2540704328 2858292369 3811056492 5081408656 5716584738 7622112984 11433169476 15244225968 22866338952 45732677904