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57385782657 = 327910885439
BaseRepresentation
bin110101011100011101…
…011000110110000001
312111010022110210201200
4311130131120312001
51420011230021112
642210200251413
74101034050540
oct653435306601
9174108423650
1057385782657
1122378861965
12b156470b69
135546c79c18
142ac55d0157
15175ceb4cdc
hexd5c758d81

57385782657 has 12 divisors (see below), whose sum is σ = 94732085760. Its totient is φ = 32791875768.

The previous prime is 57385782637. The next prime is 57385782661. The reversal of 57385782657 is 75628758375.

57385782657 is a `hidden beast` number, since 5 + 7 + 3 + 8 + 578 + 2 + 6 + 57 = 666.

57385782657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57385782657 - 219 = 57385258369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63), and also a Moran number because the ratio is a prime number: 910885439 = 57385782657 / (5 + 7 + 3 + 8 + 5 + 7 + 8 + 2 + 6 + 5 + 7).

It is a junction number, because it is equal to n+sod(n) for n = 57385782594 and 57385782603.

It is not an unprimeable number, because it can be changed into a prime (57385782617) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 455442657 + ... + 455442782.

It is an arithmetic number, because the mean of its divisors is an integer number (7894340480).

Almost surely, 257385782657 is an apocalyptic number.

It is an amenable number.

57385782657 is a deficient number, since it is larger than the sum of its proper divisors (37346303103).

57385782657 is a wasteful number, since it uses less digits than its factorization.

57385782657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910885452 (or 910885449 counting only the distinct ones).

The product of its digits is 98784000, while the sum is 63.

The spelling of 57385782657 in words is "fifty-seven billion, three hundred eighty-five million, seven hundred eighty-two thousand, six hundred fifty-seven".

Divisors: 1 3 7 9 21 63 910885439 2732656317 6376198073 8197968951 19128594219 57385782657