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135311739011857 = 1753499405174293
BaseRepresentation
bin11110110001000010111000…
…001000110100001100010001
3122202002200020202002000212001
4132301002320020310030101
5120213421420141334412
61155441204343234001
740333644014304532
oct3661027010641421
9582080222060761
10135311739011857
113a129428114381
12132143a3748901
135a66ac45208c5
14255b1a1b68689
151099b7ed44957
hex7b10b8234311

135311739011857 has 32 divisors (see below), whose sum is σ = 146305093968000. Its totient is φ = 124666492953600.

The previous prime is 135311739011851. The next prime is 135311739011861. The reversal of 135311739011857 is 758110937113531.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-135311739011857 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 135311739011798 and 135311739011807.

It is not an unprimeable number, because it can be changed into a prime (135311739011851) 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, 1821288403 + ... + 1821362695.

It is an arithmetic number, because the mean of its divisors is an integer number (4572034186500).

Almost surely, 2135311739011857 is an apocalyptic number.

135311739011857 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

135311739011857 is a deficient number, since it is larger than the sum of its proper divisors (10993354956143).

135311739011857 is a wasteful number, since it uses less digits than its factorization.

135311739011857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78913.

The product of its (nonzero) digits is 2381400, while the sum is 55.

The spelling of 135311739011857 in words is "one hundred thirty-five trillion, three hundred eleven billion, seven hundred thirty-nine million, eleven thousand, eight hundred fifty-seven".

Divisors: 1 17 53 499 901 4051 8483 26447 68867 74293 214703 449599 1262981 2021449 3649951 3937529 34364633 37072207 66937993 107136797 300960943 630227519 1821325549 1964826971 5116336031 15950929979 33402058507 150179510557 271165809643 2553051679469 7959514059521 135311739011857