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136969500024 = 23327499733743
BaseRepresentation
bin111111110010000000…
…1001011010101111000
3111002112122021112022100
41333210001023111320
54221003143000044
6142531203423400
712616142353260
oct1774401132570
9432478245270
10136969500024
11530a7791705
1222666984b60
13cbbaa8c046
1468b4d667a0
153869b55869
hex1fe404b578

136969500024 has 192 divisors, whose sum is σ = 425954880000. Its totient is φ = 38949942528.

The previous prime is 136969500001. The next prime is 136969500043. The reversal of 136969500024 is 420005969631.

136969500024 is a `hidden beast` number, since 1 + 3 + 69 + 69 + 500 + 0 + 24 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184346197 + ... + 184346939.

It is an arithmetic number, because the mean of its divisors is an integer number (2218515000).

Almost surely, 2136969500024 is an apocalyptic number.

136969500024 is a gapful number since it is divisible by the number (14) 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 136969500024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212977440000).

136969500024 is an abundant number, since it is smaller than the sum of its proper divisors (288985379976).

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

136969500024 is a wasteful number, since it uses less digits than its factorization.

136969500024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 136969500024 in words is "one hundred thirty-six billion, nine hundred sixty-nine million, five hundred thousand, twenty-four".