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134426967696 = 243272171120673
BaseRepresentation
bin111110100110001111…
…0001011111010010000
3110211222110001111122100
41331030132023322100
54200301300431241
6141431020240400
712466140241500
oct1751436137220
9424873044570
10134426967696
115201257851a
12220773a0100
13c8a40ba548
146713403a00
15376b8279b6
hex1f4c78be90

134426967696 has 180 divisors, whose sum is σ = 463374044172. Its totient is φ = 36148396032.

The previous prime is 134426967643. The next prime is 134426967809. The reversal of 134426967696 is 696769624431.

134426967696 is a `hidden beast` number, since 1 + 34 + 426 + 96 + 7 + 6 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78949760400 + 55477207296 = 280980^2 + 235536^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 440385 + ... + 680288.

Almost surely, 2134426967696 is an apocalyptic number.

134426967696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

134426967696 is an abundant number, since it is smaller than the sum of its proper divisors (328947076476).

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

134426967696 is a wasteful number, since it uses less digits than its factorization.

134426967696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120718 (or 1120702 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 63.

The spelling of 134426967696 in words is "one hundred thirty-four billion, four hundred twenty-six million, nine hundred sixty-seven thousand, six hundred ninety-six".