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57755093328 = 2432643623759
BaseRepresentation
bin110101110010011110…
…001100100101010000
312112002001101201201200
4311302132030211100
51421240300441303
642310552031200
74113140123202
oct656236144520
9175061351650
1057755093328
1122548276499
12b23a092500
1355a563484a
142b1c686772
1517806153a3
hexd7278c950

57755093328 has 60 divisors (see below), whose sum is σ = 161885680320. Its totient is φ = 19221726528.

The previous prime is 57755093267. The next prime is 57755093329. The reversal of 57755093328 is 82339055775.

57755093328 is a `hidden beast` number, since 57 + 7 + 550 + 9 + 3 + 32 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57755093329) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 219288 + ... + 404471.

It is an arithmetic number, because the mean of its divisors is an integer number (2698094672).

Almost surely, 257755093328 is an apocalyptic number.

It is an amenable number.

57755093328 is an abundant number, since it is smaller than the sum of its proper divisors (104130586992).

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

57755093328 is a wasteful number, since it uses less digits than its factorization.

57755093328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624416 (or 624407 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 57755093328 in words is "fifty-seven billion, seven hundred fifty-five million, ninety-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 643 1286 1929 2572 3858 5144 5787 7716 10288 11574 15432 23148 30864 46296 92592 623759 1247518 1871277 2495036 3742554 4990072 5613831 7485108 9980144 11227662 14970216 22455324 29940432 44910648 89821296 401077037 802154074 1203231111 1604308148 2406462222 3208616296 3609693333 4812924444 6417232592 7219386666 9625848888 14438773332 19251697776 28877546664 57755093328