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136364650000 = 24551729437
BaseRepresentation
bin111111011111111110…
…1110110111000010000
3111000222111010222001121
41332333331312320100
54213233322300000
6142351155412024
712565146254155
oct1767775667020
9430874128047
10136364650000
1152917320957
12225182b4014
13cb22685a17
1468588ba22c
1538319cab1a
hex1fbff76e10

136364650000 has 180 divisors, whose sum is σ = 350842568076. Its totient is φ = 51331840000.

The previous prime is 136364649959. The next prime is 136364650027. The reversal of 136364650000 is 56463631.

It can be written as a sum of positive squares in 18 ways, for example, as 136285012224 + 79637776 = 369168^2 + 8924^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 14445282 + ... + 14454718.

Almost surely, 2136364650000 is an apocalyptic number.

136364650000 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 136364650000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175421284038).

136364650000 is an abundant number, since it is smaller than the sum of its proper divisors (214477918076).

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

136364650000 is an frugal number, since it uses more digits than its factorization.

136364650000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9504 (or 9461 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The spelling of 136364650000 in words is "one hundred thirty-six billion, three hundred sixty-four million, six hundred fifty thousand".