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136699027920 = 2435573131983
BaseRepresentation
bin111111101001111100…
…1011010000111010000
3111001211210100010100000
41333103321122013100
54214424422343140
6142444302330000
712606346365000
oct1772371320720
9431753303300
10136699027920
1152a79045a44
12225b0289900
13cb76a2c390
14688b07c000
15385102aa30
hex1fd3e5a1d0

136699027920 has 1920 divisors, whose sum is σ = 636959232000. Its totient is φ = 26994788352.

The previous prime is 136699027897. The next prime is 136699027937. The reversal of 136699027920 is 29720996631.

136699027920 is a `hidden beast` number, since 1 + 366 + 9 + 9 + 0 + 279 + 2 + 0 = 666.

It is a super-3 number, since 3×1366990279203 (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1646976199 + ... + 1646976281.

It is an arithmetic number, because the mean of its divisors is an integer number (331749600).

Almost surely, 2136699027920 is an apocalyptic number.

136699027920 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 136699027920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318479616000).

136699027920 is an abundant number, since it is smaller than the sum of its proper divisors (500260204080).

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

136699027920 is a wasteful number, since it uses less digits than its factorization.

136699027920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 136699027920 in words is "one hundred thirty-six billion, six hundred ninety-nine million, twenty-seven thousand, nine hundred twenty".