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13696726992 = 24313192411483
BaseRepresentation
bin11001100000110001…
…10111011111010000
31022100112210211012220
430300120313133100
5211022330230432
610143040221040
7663263154444
oct146030673720
938315724186
1013696726992
115899499793
1227a300a780
1313a38363b0
1493d0d0824
155526c972c
hex3306377d0

13696726992 has 240 divisors, whose sum is σ = 41224736448. Its totient is φ = 3892561920.

The previous prime is 13696726969. The next prime is 13696726997. The reversal of 13696726992 is 29962769631.

13696726992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13696726997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9235083 + ... + 9236565.

Almost surely, 213696726992 is an apocalyptic number.

13696726992 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 13696726992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20612368224).

13696726992 is an abundant number, since it is smaller than the sum of its proper divisors (27528009456).

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

13696726992 is a wasteful number, since it uses less digits than its factorization.

13696726992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1561 counting only the distinct ones).

The product of its digits is 13226976, while the sum is 60.

The spelling of 13696726992 in words is "thirteen billion, six hundred ninety-six million, seven hundred twenty-six thousand, nine hundred ninety-two".