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136403852704 = 25724771131199
BaseRepresentation
bin111111100001001001…
…1011001110110100000
3111001002012220200001121
41333002103121312200
54213323341241304
6142355115542024
712566133421600
oct1770223316640
9431065820047
10136403852704
1152937467489
122252945a914
13cb2a8306a2
14685dba2c00
153835171554
hex1fc24d9da0

136403852704 has 288 divisors, whose sum is σ = 327637094400. Its totient is φ = 55697241600.

The previous prime is 136403852701. The next prime is 136403852729. The reversal of 136403852704 is 407258304631.

It is a super-2 number, since 2×1364038527042 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (136403852701) by changing a digit.

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, 685446397 + ... + 685446595.

It is an arithmetic number, because the mean of its divisors is an integer number (1137628800).

Almost surely, 2136403852704 is an apocalyptic number.

136403852704 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 136403852704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163818547200).

136403852704 is an abundant number, since it is smaller than the sum of its proper divisors (191233241696).

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

136403852704 is a wasteful number, since it uses less digits than its factorization.

136403852704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The spelling of 136403852704 in words is "one hundred thirty-six billion, four hundred three million, eight hundred fifty-two thousand, seven hundred four".