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380669256256 = 2623323312
BaseRepresentation
bin1011000101000011010…
…01111110001001000000
31100101120111100211201211
411202201221332021000
522214102312200011
6450513235135504
736334224201352
oct5424151761100
91311514324654
10380669256256
11137493964523
1261939444594
1329b877ca433
14145d2b310d2
159d7e7cab21
hex58a1a7e240

380669256256 has 63 divisors (see below), whose sum is σ = 760945396953. Its totient is φ = 188945180160.

The previous prime is 380669256161. The next prime is 380669256263. The reversal of 380669256256 is 652652966083.

It is a happy number.

The square root of 380669256256 is 616984.

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

It can be written as a sum of positive squares in only one way, i.e., 77306241600 + 303363014656 = 278040^2 + 550784^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 380669256256.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1150058011 + ... + 1150058341.

Almost surely, 2380669256256 is an apocalyptic number.

380669256256 is the 616984-th square number.

It is an amenable number.

380669256256 is a deficient number, since it is larger than the sum of its proper divisors (380276140697).

380669256256 is an frugal number, since it uses more digits than its factorization.

380669256256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 58.

The spelling of 380669256256 in words is "three hundred eighty billion, six hundred sixty-nine million, two hundred fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 233 331 466 662 932 1324 1864 2648 3728 5296 7456 10592 14912 21184 54289 77123 108578 109561 154246 217156 219122 308492 434312 438244 616984 868624 876488 1233968 1737248 1752976 2467936 3474496 3505952 4935872 7011904 17969659 25527713 35939318 51055426 71878636 102110852 143757272 204221704 287514544 408443408 575029088 816886816 1150058176 1633773632 5947957129 11895914258 23791828516 47583657032 95167314064 190334628128 380669256256