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136476045420 = 22351113611072437
BaseRepresentation
bin111111100011010011…
…0110011000001101100
3111001021020202102211220
41333012212303001230
54214000331423140
6142410215143340
712601001150151
oct1770646630154
9431236672756
10136476045420
1152974195990
1222549674b50
13cb3c789280
1468695d6228
15383b681bd0
hex1fc69b306c

136476045420 has 384 divisors, whose sum is σ = 460752509952. Its totient is φ = 29746483200.

The previous prime is 136476045413. The next prime is 136476045427. The reversal of 136476045420 is 24540674631.

It is a happy number.

136476045420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (136476045413) and next prime (136476045427).

It is not an unprimeable number, because it can be changed into a prime (136476045427) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56000442 + ... + 56002878.

It is an arithmetic number, because the mean of its divisors is an integer number (1199876328).

Almost surely, 2136476045420 is an apocalyptic number.

136476045420 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 136476045420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230376254976).

136476045420 is an abundant number, since it is smaller than the sum of its proper divisors (324276464532).

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

136476045420 is a wasteful number, since it uses less digits than its factorization.

136476045420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2641 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 136476045420 in words is "one hundred thirty-six billion, four hundred seventy-six million, forty-five thousand, four hundred twenty".