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134420052096 = 27341117194189
BaseRepresentation
bin111110100110000001…
…1110011100010000000
3110211221222001011020000
41331030003303202000
54200243013131341
6141430212120000
712466024406421
oct1751403634200
9424858034200
10134420052096
1152009684750
1222075006000
13c8a2838885
146712523648
15376ae0d8b6
hex1f4c0f3880

134420052096 has 1280 divisors, whose sum is σ = 503849808000. Its totient is φ = 35035545600.

The previous prime is 134420052073. The next prime is 134420052161. The reversal of 134420052096 is 690250024431.

It is a happy number.

134420052096 is a `hidden beast` number, since 1 + 3 + 4 + 42 + 0 + 0 + 520 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 134420052096.

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, 1510337620 + ... + 1510337708.

Almost surely, 2134420052096 is an apocalyptic number.

134420052096 is a gapful number since it is divisible by the number (16) 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 134420052096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251924904000).

134420052096 is an abundant number, since it is smaller than the sum of its proper divisors (369429755904).

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

134420052096 is a wasteful number, since it uses less digits than its factorization.

134420052096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 134420052096 in words is "one hundred thirty-four billion, four hundred twenty million, fifty-two thousand, ninety-six".