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135967740318 = 235833370711
BaseRepresentation
bin111111010100001001…
…1110001000110011110
3110222221211021212100000
41332220103301012132
54211430220142233
6142243540315130
712552256503114
oct1765023610636
9428854255300
10135967740318
1152733276823
12224273a2aa6
13ca8b386c17
14681bcbbab4
15380bc27d13
hex1fa84f119e

135967740318 has 48 divisors (see below), whose sum is σ = 309188670336. Its totient is φ = 44776511640.

The previous prime is 135967740287. The next prime is 135967740373. The reversal of 135967740318 is 813047769531.

135967740318 is a `hidden beast` number, since 1 + 3 + 596 + 7 + 7 + 40 + 3 + 1 + 8 = 666.

It is a super-2 number, since 2×1359677403182 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1645018 + ... + 1725693.

It is an arithmetic number, because the mean of its divisors is an integer number (6441430632).

Almost surely, 2135967740318 is an apocalyptic number.

135967740318 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

135967740318 is an abundant number, since it is smaller than the sum of its proper divisors (173220930018).

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

135967740318 is an equidigital number, since it uses as much as digits as its factorization.

135967740318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370811 (or 3370799 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 135967740318 in words is "one hundred thirty-five billion, nine hundred sixty-seven million, seven hundred forty thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 81 83 162 166 243 249 486 498 747 1494 2241 4482 6723 13446 20169 40338 3370711 6741422 10112133 20224266 30336399 60672798 91009197 182018394 273027591 279769013 546055182 559538026 819082773 839307039 1638165546 1678614078 2517921117 5035842234 7553763351 15107526702 22661290053 45322580106 67983870159 135967740318