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57378662256 = 2437316375189
BaseRepresentation
bin110101011100000010…
…001110011101110000
312111002211002001101010
4311130002032131300
51420002414143011
642205343510520
74100616403416
oct653402163560
9174084061333
1057378662256
1122374839233
12b153bb8440
135545655c76
142ac46992b6
15175c55a1a6
hexd5c08e770

57378662256 has 40 divisors (see below), whose sum is σ = 150258743440. Its totient is φ = 18864216576.

The previous prime is 57378662239. The next prime is 57378662287. The reversal of 57378662256 is 65226687375.

It is a junction number, because it is equal to n+sod(n) for n = 57378662196 and 57378662205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8184091 + ... + 8191098.

It is an arithmetic number, because the mean of its divisors is an integer number (3756468586).

Almost surely, 257378662256 is an apocalyptic number.

It is an amenable number.

57378662256 is an abundant number, since it is smaller than the sum of its proper divisors (92880081184).

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

57378662256 is a wasteful number, since it uses less digits than its factorization.

57378662256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16375273 (or 16375267 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 57.

The spelling of 57378662256 in words is "fifty-seven billion, three hundred seventy-eight million, six hundred sixty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 876 1168 1752 3504 16375189 32750378 49125567 65500756 98251134 131001512 196502268 262003024 393004536 786009072 1195388797 2390777594 3586166391 4781555188 7172332782 9563110376 14344665564 19126220752 28689331128 57378662256