Search a number
-
+
136866609051200 = 26527971314332221
BaseRepresentation
bin11111000111101010111101…
…100111010011011001000000
3122221121022122022100222020222
4133013222331213103121000
5120414410303404114300
61203031352512322212
740554200106465350
oct3707527547233100
9587538568328228
10136866609051200
113a678891782416
12134257ba543368
135b4a609631bc2
1425b2544836b60
1510c53343b8785
hex7c7abd9d3640

136866609051200 has 672 divisors, whose sum is σ = 392906481209088. Its totient is φ = 45960265728000.

The previous prime is 136866609051197. The next prime is 136866609051251. The reversal of 136866609051200 is 2150906668631.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61623866090 + ... + 61623868310.

It is an arithmetic number, because the mean of its divisors is an integer number (584682263704).

Almost surely, 2136866609051200 is an apocalyptic number.

136866609051200 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 136866609051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196453240604544).

136866609051200 is an abundant number, since it is smaller than the sum of its proper divisors (256039872157888).

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

136866609051200 is a wasteful number, since it uses less digits than its factorization.

136866609051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2911 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 53.

The spelling of 136866609051200 in words is "one hundred thirty-six trillion, eight hundred sixty-six billion, six hundred nine million, fifty-one thousand, two hundred".