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57335153705 = 5181627710093
BaseRepresentation
bin110101011001011100…
…010000010000101001
312110222210012120212022
4311121130100100221
51414410244404310
642201151154225
74066550523344
oct653134202051
9173883176768
1057335153705
1122352221655
12b141515975
13553963146b
142abc9b145b
151758813a55
hexd59710429

57335153705 has 16 divisors (see below), whose sum is σ = 69200184144. Its totient is φ = 45602922240.

The previous prime is 57335153677. The next prime is 57335153719. The reversal of 57335153705 is 50735153375.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 456719641 + 56878434064 = 21371^2 + 238492^2 .

It is not a de Polignac number, because 57335153705 - 210 = 57335152681 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5675639 + ... + 5685731.

It is an arithmetic number, because the mean of its divisors is an integer number (4325011509).

Almost surely, 257335153705 is an apocalyptic number.

It is an amenable number.

57335153705 is a deficient number, since it is larger than the sum of its proper divisors (11865030439).

57335153705 is a wasteful number, since it uses less digits than its factorization.

57335153705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16556.

The product of its (nonzero) digits is 826875, while the sum is 44.

The spelling of 57335153705 in words is "fifty-seven billion, three hundred thirty-five million, one hundred fifty-three thousand, seven hundred five".

Divisors: 1 5 181 905 6277 10093 31385 50465 1136137 1826833 5680685 9134165 63353761 316768805 11467030741 57335153705