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57385894608 = 24337232291237
BaseRepresentation
bin110101011100011101…
…110100001011010000
312111010022200111022000
4311130131310023100
51420011242111413
642210202514000
74101035025120
oct653435641320
9174108614260
1057385894608
1122378928a89
12b156505900
135546cb8b73
142ac561cc80
15175ced8073
hexd5c7742d0

57385894608 has 480 divisors, whose sum is σ = 203741126400. Its totient is φ = 15130063872.

The previous prime is 57385894597. The next prime is 57385894639. The reversal of 57385894608 is 80649858375.

57385894608 is a `hidden beast` number, since 5 + 7 + 3 + 8 + 589 + 46 + 0 + 8 = 666.

57385894608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46390566 + ... + 46391802.

It is an arithmetic number, because the mean of its divisors is an integer number (424460680).

Almost surely, 257385894608 is an apocalyptic number.

57385894608 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57385894608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101870563200).

57385894608 is an abundant number, since it is smaller than the sum of its proper divisors (146355231792).

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

57385894608 is a wasteful number, since it uses less digits than its factorization.

57385894608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 57385894608 in words is "fifty-seven billion, three hundred eighty-five million, eight hundred ninety-four thousand, six hundred eight".