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135068899680 = 253451113312351
BaseRepresentation
bin111110111001010111…
…0111101100101100000
3110220122011222000210000
41331302232331211200
54203110114242210
6142014431140000
712521063463351
oct1756256754540
9426564860700
10135068899680
1152311966520
1222216374600
13c9770a8160
146774783d28
1537a7d79ac0
hex1f72bbd960

135068899680 has 960 divisors, whose sum is σ = 578327371776. Its totient is φ = 29237760000.

The previous prime is 135068899673. The next prime is 135068899727. The reversal of 135068899680 is 86998860531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 57450505 + ... + 57452855.

Almost surely, 2135068899680 is an apocalyptic number.

135068899680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135068899680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289163685888).

135068899680 is an abundant number, since it is smaller than the sum of its proper divisors (443258472096).

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

135068899680 is a wasteful number, since it uses less digits than its factorization.

135068899680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 135068899680 in words is "one hundred thirty-five billion, sixty-eight million, eight hundred ninety-nine thousand, six hundred eighty".