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3995313919920 = 2432525721591623
BaseRepresentation
bin111010001000111011010…
…001000101011110110000
3112010221121022000011112200
4322020323101011132300
51010424400330414140
612255231043023200
7561436413662061
oct72107321053660
915127538004480
103995313919920
111300448606314
1254639a66ab00
1322c9aaccc79b
14db534c36568
156ddd98b2030
hex3a23b4457b0

3995313919920 has 120 divisors (see below), whose sum is σ = 13469805082656. Its totient is φ = 1061271404544.

The previous prime is 3995313919913. The next prime is 3995313919951. The reversal of 3995313919920 is 299193135993.

3995313919920 is a `hidden beast` number, since 3 + 9 + 9 + 531 + 3 + 9 + 1 + 9 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10610772 + ... + 10980851.

Almost surely, 23995313919920 is an apocalyptic number.

3995313919920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3995313919920 is an abundant number, since it is smaller than the sum of its proper divisors (9474491162736).

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

3995313919920 is a wasteful number, since it uses less digits than its factorization.

3995313919920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21591899 (or 21591890 counting only the distinct ones).

The product of its (nonzero) digits is 15943230, while the sum is 63.

The spelling of 3995313919920 in words is "three trillion, nine hundred ninety-five billion, three hundred thirteen million, nine hundred nineteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 257 360 514 720 771 1028 1285 1542 2056 2313 2570 3084 3855 4112 4626 5140 6168 7710 9252 10280 11565 12336 15420 18504 20560 23130 30840 37008 46260 61680 92520 185040 21591623 43183246 64774869 86366492 107958115 129549738 172732984 194324607 215916230 259099476 323874345 345465968 388649214 431832460 518198952 647748690 777298428 863664920 971623035 1036397904 1295497380 1554596856 1727329840 1943246070 2590994760 3109193712 3886492140 5181989520 5549047111 7772984280 11098094222 15545968560 16647141333 22196188444 27745235555 33294282666 44392376888 49941423999 55490471110 66588565332 83235706665 88784753776 99882847998 110980942220 133177130664 166471413330 199765695996 221961884440 249707119995 266354261328 332942826660 399531391992 443923768880 499414239990 665885653320 799062783984 998828479980 1331771306640 1997656959960 3995313919920