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135435979188 = 223213812724193
BaseRepresentation
bin111111000100010011…
…1010000100110110100
3110221120202200121012100
41332020213100212310
54204333102313223
6142115103022100
712533141554116
oct1761047204664
9427522617170
10135435979188
1152490096814
12222b929a930
13ca05161373
1467ab4193b6
1537ca1d9043
hex1f889d09b4

135435979188 has 36 divisors (see below), whose sum is σ = 342600085828. Its totient is φ = 45112619520.

The previous prime is 135435979187. The next prime is 135435979207. The reversal of 135435979188 is 881979534531.

135435979188 is a `hidden beast` number, since 1 + 3 + 543 + 5 + 9 + 7 + 9 + 1 + 88 = 666.

135435979188 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 75855074724 + 59580904464 = 275418^2 + 244092^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1354359791882 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135435979183) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1312381 + ... + 1411812.

Almost surely, 2135435979188 is an apocalyptic number.

135435979188 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135435979188 is an abundant number, since it is smaller than the sum of its proper divisors (207164106640).

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

135435979188 is a wasteful number, since it uses less digits than its factorization.

135435979188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725584 (or 2725579 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 63.

The spelling of 135435979188 in words is "one hundred thirty-five billion, four hundred thirty-five million, nine hundred seventy-nine thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1381 2762 4143 5524 8286 12429 16572 24858 49716 2724193 5448386 8172579 10896772 16345158 24517737 32690316 49035474 98070948 3762110533 7524221066 11286331599 15048442132 22572663198 33858994797 45145326396 67717989594 135435979188