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13277714112 = 2632134673797
BaseRepresentation
bin11000101110110100…
…11101011011000000
31021021100100202121100
430113122131123000
5204143043322422
610033311254400
7650014464525
oct142732353300
937240322540
1013277714112
1156a3a18153
1226a681a400
131337a98a90
148dd5bb14c
1552aa0c7ac
hex31769d6c0

13277714112 has 168 divisors, whose sum is σ = 41084302896. Its totient is φ = 4075628544.

The previous prime is 13277714089. The next prime is 13277714123. The reversal of 13277714112 is 21141777231.

13277714112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3494998 + ... + 3498794.

It is an arithmetic number, because the mean of its divisors is an integer number (244549422).

Almost surely, 213277714112 is an apocalyptic number.

13277714112 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 13277714112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20542151448).

13277714112 is an abundant number, since it is smaller than the sum of its proper divisors (27806588784).

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

13277714112 is a wasteful number, since it uses less digits than its factorization.

13277714112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4295 (or 4282 counting only the distinct ones).

The product of its digits is 16464, while the sum is 36.

The spelling of 13277714112 in words is "thirteen billion, two hundred seventy-seven million, seven hundred fourteen thousand, one hundred twelve".