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136905640872 = 23371113293747113
BaseRepresentation
bin111111110000000110…
…1100100101110101000
3111002101012010011000120
41333200031210232220
54220340321001442
6142521003003240
712614435514060
oct1774015445650
9432335104016
10136905640872
1153074735350
1222649509520
13cbaa790670
1468aa6a23a0
15386423e4ec
hex1fe0364ba8

136905640872 has 1024 divisors, whose sum is σ = 503038771200. Its totient is φ = 29912924160.

The previous prime is 136905640867. The next prime is 136905640877. The reversal of 136905640872 is 278046509631.

It is an interprime number because it is at equal distance from previous prime (136905640867) and next prime (136905640877).

It is not an unprimeable number, because it can be changed into a prime (136905640877) 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 255 ways as a sum of consecutive naturals, for example, 1211554288 + ... + 1211554400.

It is an arithmetic number, because the mean of its divisors is an integer number (491248800).

It is a 1-persistent number, because it is pandigital, but 2⋅136905640872 = 273811281744 is not.

Almost surely, 2136905640872 is an apocalyptic number.

136905640872 is a gapful number since it is divisible by the number (12) 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 136905640872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251519385600).

136905640872 is an abundant number, since it is smaller than the sum of its proper divisors (366133130328).

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

136905640872 is a wasteful number, since it uses less digits than its factorization.

136905640872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

It can be divided in two parts, 136905 and 640872, that added together give a palindrome (777777).

The spelling of 136905640872 in words is "one hundred thirty-six billion, nine hundred five million, six hundred forty thousand, eight hundred seventy-two".