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13278650112 = 283471331227
BaseRepresentation
bin11000101110111100…
…00001111100000000
31021021102010022120000
430113132001330000
5204143313300422
610033343320000
7650025443430
oct142736017400
937242108500
1013278650112
1156a44a7402
1226a6bb0000
131338035b20
148dd7822c0
1552ab44cac
hex317781f00

13278650112 has 720 divisors, whose sum is σ = 50525325312. Its totient is φ = 3374161920.

The previous prime is 13278650107. The next prime is 13278650201. The reversal of 13278650112 is 21105687231.

13278650112 is a `hidden beast` number, since 132 + 7 + 8 + 6 + 501 + 12 = 666.

It is a super-2 number, since 2×132786501122 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 58496143 + ... + 58496369.

Almost surely, 213278650112 is an apocalyptic number.

13278650112 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 13278650112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25262662656).

13278650112 is an abundant number, since it is smaller than the sum of its proper divisors (37246675200).

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

13278650112 is a wasteful number, since it uses less digits than its factorization.

13278650112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 13278650112 in words is "thirteen billion, two hundred seventy-eight million, six hundred fifty thousand, one hundred twelve".