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12914776368 = 243213192315787
BaseRepresentation
bin11000000011100011…
…11101100100110000
31020100001102121121200
430001301331210300
5202422140320433
65533304251200
7635016534144
oct140161754460
936301377550
1012914776368
1155280666aa
122605170b00
1312aa832b10
148a7303224
15508c1a613
hex301c7d930

12914776368 has 240 divisors, whose sum is σ = 42756430080. Its totient is φ = 3600723456.

The previous prime is 12914776367. The next prime is 12914776409. The reversal of 12914776368 is 86367741921.

It is not an unprimeable number, because it can be changed into a prime (12914776361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 810171 + ... + 825957.

It is an arithmetic number, because the mean of its divisors is an integer number (178151792).

Almost surely, 212914776368 is an apocalyptic number.

12914776368 is a gapful number since it is divisible by the number (18) 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 12914776368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21378215040).

12914776368 is an abundant number, since it is smaller than the sum of its proper divisors (29841653712).

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

12914776368 is a wasteful number, since it uses less digits than its factorization.

12914776368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15856 (or 15847 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 12914776368 in words is "twelve billion, nine hundred fourteen million, seven hundred seventy-six thousand, three hundred sixty-eight".