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382405468680 = 233253134265723
BaseRepresentation
bin1011001000010010010…
…01000110001000001000
31100120001111100120102200
411210021021012020020
522231131244444210
6451401420200200
736425235565224
oct5441111061010
91316044316380
10382405468680
111381a4a10624
1262142999060
132a0a3415571
1414719561784
159e31e340c0
hex5909246208

382405468680 has 96 divisors (see below), whose sum is σ = 1282908706560. Its totient is φ = 98685279360.

The previous prime is 382405468657. The next prime is 382405468681. The reversal of 382405468680 is 86864504283.

382405468680 is a `hidden beast` number, since 3 + 82 + 40 + 5 + 468 + 68 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (382405468681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17121702 + ... + 17144021.

It is an arithmetic number, because the mean of its divisors is an integer number (13363632360).

Almost surely, 2382405468680 is an apocalyptic number.

382405468680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

382405468680 is an abundant number, since it is smaller than the sum of its proper divisors (900503237880).

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

382405468680 is a wasteful number, since it uses less digits than its factorization.

382405468680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34265771 (or 34265764 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 382405468680 in words is "three hundred eighty-two billion, four hundred five million, four hundred sixty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 11160 34265723 68531446 102797169 137062892 171328615 205594338 274125784 308391507 342657230 411188676 513985845 616783014 685314460 822377352 1027971690 1062237413 1233566028 1370628920 1541957535 2055943380 2124474826 2467132056 3083915070 3186712239 4111886760 4248949652 5311187065 6167830140 6373424478 8497899304 9560136717 10622374130 12335660280 12746848956 15933561195 19120273434 21244748260 25493697912 31867122390 38240546868 42489496520 47800683585 63734244780 76481093736 95601367170 127468489560 191202734340 382405468680