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380427886728 = 2332171971577701
BaseRepresentation
bin1011000100100110100…
…01001110000010001000
31100100221200011222222200
411202103101032002020
522213104014333403
6450433253520200
736325233453201
oct5422321160210
91310850158880
10380427886728
1113737a695a7a
1261890643060
1329b497ba126
14145aca605a8
159d684edca3
hex589344e088

380427886728 has 96 divisors (see below), whose sum is σ = 1096471335960. Its totient is φ = 118744012800.

The previous prime is 380427886661. The next prime is 380427886759. The reversal of 380427886728 is 827688724083.

380427886728 is a `hidden beast` number, since 380 + 42 + 78 + 86 + 72 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 372248854884 + 8179031844 = 610122^2 + 90438^2 .

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, 547723 + ... + 1029978.

Almost surely, 2380427886728 is an apocalyptic number.

It is an amenable number.

380427886728 is an abundant number, since it is smaller than the sum of its proper divisors (716043449232).

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

380427886728 is a wasteful number, since it uses less digits than its factorization.

380427886728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577927 (or 1577920 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 380427886728 in words is "three hundred eighty billion, four hundred twenty-seven million, eight hundred eighty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 197 204 306 394 408 591 612 788 1182 1224 1576 1773 2364 3349 3546 4728 6698 7092 10047 13396 14184 20094 26792 30141 40188 60282 80376 120564 241128 1577701 3155402 4733103 6310804 9466206 12621608 14199309 18932412 26820917 28398618 37864824 53641834 56797236 80462751 107283668 113594472 160925502 214567336 241388253 310807097 321851004 482776506 621614194 643702008 932421291 965553012 1243228388 1864842582 1931106024 2486456776 2797263873 3729685164 5283720649 5594527746 7459370328 10567441298 11189055492 15851161947 21134882596 22378110984 31702323894 42269765192 47553485841 63404647788 95106971682 126809295576 190213943364 380427886728