Search a number
-
+
136049953536 = 28357244633
BaseRepresentation
bin111111010110100110…
…1011000101100000000
3111000011112222201200000
41332231031120230000
54212112242003121
6142300034400000
712554305344600
oct1765515305400
9430145881600
10136049953536
1152775719832
122244aa30000
13caa24107b3
146828b9cc00
153814067526
hex1fad358b00

136049953536 has 324 divisors, whose sum is σ = 473219844552. Its totient is φ = 38870544384.

The previous prime is 136049953513. The next prime is 136049953541. The reversal of 136049953536 is 635359940631.

136049953536 is a `hidden beast` number, since 1 + 3 + 60 + 49 + 9 + 5 + 3 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 3025876 + ... + 3070508.

Almost surely, 2136049953536 is an apocalyptic number.

136049953536 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 136049953536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236609922276).

136049953536 is an abundant number, since it is smaller than the sum of its proper divisors (337169891016).

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

136049953536 is an frugal number, since it uses more digits than its factorization.

136049953536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44678 (or 44645 counting only the distinct ones).

The product of its (nonzero) digits is 7873200, while the sum is 54.

The spelling of 136049953536 in words is "one hundred thirty-six billion, forty-nine million, nine hundred fifty-three thousand, five hundred thirty-six".