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57314787705 = 335728664367
BaseRepresentation
bin110101011000001110…
…100100000101111001
312110221100212212222000
4311120032210011321
51414340041201310
642155142451213
74066212441300
oct653016440571
9173840785860
1057314787705
112234178134a
12b136733b09
135535350586
142ab9dcd437
151756b3e4c0
hexd583a4179

57314787705 has 48 divisors (see below), whose sum is σ = 118528554240. Its totient is φ = 26201042784.

The previous prime is 57314787703. The next prime is 57314787757. The reversal of 57314787705 is 50778741375.

It is not a de Polignac number, because 57314787705 - 21 = 57314787703 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57314787703) 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 47 ways as a sum of consecutive naturals, for example, 4325569 + ... + 4338798.

It is an arithmetic number, because the mean of its divisors is an integer number (2469344880).

Almost surely, 257314787705 is an apocalyptic number.

It is an amenable number.

57314787705 is an abundant number, since it is smaller than the sum of its proper divisors (61213766535).

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

57314787705 is a wasteful number, since it uses less digits than its factorization.

57314787705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8664395 (or 8664382 counting only the distinct ones).

The product of its (nonzero) digits is 5762400, while the sum is 54.

The spelling of 57314787705 in words is "fifty-seven billion, three hundred fourteen million, seven hundred eighty-seven thousand, seven hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 105 135 147 189 245 315 441 735 945 1323 2205 6615 8664367 25993101 43321835 60650569 77979303 129965505 181951707 233937909 303252845 389896515 424553983 545855121 909758535 1169689545 1273661949 1637565363 2122769915 2729275605 3820985847 6368309745 8187826815 11462957541 19104929235 57314787705