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12778740000 = 2532541343127
BaseRepresentation
bin10111110011010110…
…00001100100100000
31012222120110020210200
423321223001210200
5202132324140000
65512004425200
7631445332515
oct137153014440
935876406720
1012778740000
1154682a1554
1225876a8200
1312885b2920
1489321130c
154ebce8500
hex2f9ac1920

12778740000 has 720 divisors, whose sum is σ = 50434255872. Its totient is φ = 3048192000.

The previous prime is 12778739999. The next prime is 12778740017. The reversal of 12778740000 is 4787721.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 100619937 + ... + 100620063.

Almost surely, 212778740000 is an apocalyptic number.

12778740000 is a gapful number since it is divisible by the number (10) 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 12778740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25217127936).

12778740000 is an abundant number, since it is smaller than the sum of its proper divisors (37655515872).

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

12778740000 is a wasteful number, since it uses less digits than its factorization.

12778740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The spelling of 12778740000 in words is "twelve billion, seven hundred seventy-eight million, seven hundred forty thousand".