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136640840616 = 23327247289197
BaseRepresentation
bin111111101000001101…
…1011100001110101000
3111001200201211220100200
41333100123130032220
54214320023344431
6142434423232200
712605041660500
oct1772033341650
9431621756320
10136640840616
1152a49212a65
12225948a8660
13cb67968517
146883452a00
15384ad84ee6
hex1fd06dc3a8

136640840616 has 432 divisors, whose sum is σ = 447042410100. Its totient is φ = 37588497408.

The previous prime is 136640840603. The next prime is 136640840617. The reversal of 136640840616 is 616048046631.

It can be written as a sum of positive squares in 2 ways, for example, as 133363736100 + 3277104516 = 365190^2 + 57246^2 .

It is not an unprimeable number, because it can be changed into a prime (136640840617) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 693608230 + ... + 693608426.

Almost surely, 2136640840616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136640840616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223521205050).

136640840616 is an abundant number, since it is smaller than the sum of its proper divisors (310401569484).

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

136640840616 is a wasteful number, since it uses less digits than its factorization.

136640840616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 136640840616 in words is "one hundred thirty-six billion, six hundred forty million, eight hundred forty thousand, six hundred sixteen".