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12398690304 = 21633721113
BaseRepresentation
bin10111000110000010…
…10000000000000000
31012000002022201122000
423203001100000000
5200343031042204
65410150544000
7616152062100
oct134301200000
935002281560
1012398690304
1152928125a0
1224a0368000
131227937c50
14858961200
154c8776039
hex2e3050000

12398690304 has 816 divisors, whose sum is σ = 50205435840. Its totient is φ = 2972712960.

The previous prime is 12398690263. The next prime is 12398690327. The reversal of 12398690304 is 40309689321.

It is a happy number.

It is a super-2 number, since 2×123986903042 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12398690304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 953745402 + ... + 953745414.

Almost surely, 212398690304 is an apocalyptic number.

12398690304 is a gapful number since it is divisible by the number (14) 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 12398690304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25102717920).

12398690304 is an abundant number, since it is smaller than the sum of its proper divisors (37806745536).

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

12398690304 is an equidigital number, since it uses as much as digits as its factorization.

12398690304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 12398690304 in words is "twelve billion, three hundred ninety-eight million, six hundred ninety thousand, three hundred four".