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57130062408 = 23322927361141
BaseRepresentation
bin110101001101001101…
…111001001001001000
312110110111021212111100
4311031031321021020
51414000243444113
642124543301400
74061510342466
oct651515711110
9173414255440
1057130062408
1122257481511
12b0a48aa860
135505cb3973
142a9d665836
151745800d73
hexd4d379248

57130062408 has 48 divisors (see below), whose sum is σ = 160062680700. Its totient is φ = 18386686080.

The previous prime is 57130062401. The next prime is 57130062443. The reversal of 57130062408 is 80426003175.

It can be written as a sum of positive squares in 2 ways, for example, as 50121358884 + 7008703524 = 223878^2 + 83718^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (57130062401) 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, 13678483 + ... + 13682658.

Almost surely, 257130062408 is an apocalyptic number.

57130062408 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

57130062408 is an abundant number, since it is smaller than the sum of its proper divisors (102932618292).

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

57130062408 is a wasteful number, since it uses less digits than its factorization.

57130062408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27361182 (or 27361175 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 57130062408 in words is "fifty-seven billion, one hundred thirty million, sixty-two thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 27361141 54722282 82083423 109444564 164166846 218889128 246250269 328333692 492500538 656667384 793473089 985001076 1586946178 1970002152 2380419267 3173892356 4760838534 6347784712 7141257801 9521677068 14282515602 19043354136 28565031204 57130062408