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57407552388 = 22332921186869
BaseRepresentation
bin110101011101110000…
…011011101110000100
312111011211102211012000
4311131300123232010
51420032313134023
642212255025300
74101420100254
oct653560335604
9174154384160
1057407552388
112238a08087a
12b16180b230
13554b62ca14
142ac8459964
15175ed65243
hexd5dc1bb84

57407552388 has 96 divisors (see below), whose sum is σ = 154698096000. Its totient is φ = 18388218240.

The previous prime is 57407552387. The next prime is 57407552393. The reversal of 57407552388 is 88325570475.

57407552388 is a `hidden beast` number, since 5 + 7 + 4 + 0 + 7 + 552 + 3 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (57407552387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 617418 + ... + 704286.

It is an arithmetic number, because the mean of its divisors is an integer number (1611438500).

Almost surely, 257407552388 is an apocalyptic number.

57407552388 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 57407552388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77349048000).

57407552388 is an abundant number, since it is smaller than the sum of its proper divisors (97290543612).

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

57407552388 is a wasteful number, since it uses less digits than its factorization.

57407552388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87122 (or 87114 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 54.

The spelling of 57407552388 in words is "fifty-seven billion, four hundred seven million, five hundred fifty-two thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 211 261 348 422 522 633 783 844 1044 1266 1566 1899 2532 3132 3798 5697 6119 7596 11394 12238 18357 22788 24476 36714 55071 73428 86869 110142 165213 173738 220284 260607 330426 347476 521214 660852 781821 1042428 1563642 2345463 2519201 3127284 4690926 5038402 7557603 9381852 10076804 15115206 18329359 22672809 30230412 36658718 45345618 54988077 68018427 73317436 90691236 109976154 136036854 164964231 219952308 272073708 329928462 494892693 531551411 659856924 989785386 1063102822 1594654233 1979570772 2126205644 3189308466 4783962699 6378616932 9567925398 14351888097 19135850796 28703776194 57407552388