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12830369472 = 26321710911201
BaseRepresentation
bin10111111001011111…
…11110011011000000
31020010011121022010100
423330233332123000
5202234033310342
65521051202400
7632643224664
oct137457763300
936104538110
1012830369472
115494455538
1225a0a46400
1312961bb8cb
1489a0108a4
155015e5e4c
hex2fcbfe6c0

12830369472 has 168 divisors, whose sum is σ = 39007371312. Its totient is φ = 4018176000.

The previous prime is 12830369471. The next prime is 12830369483. The reversal of 12830369472 is 27496303821.

12830369472 is a `hidden beast` number, since 1 + 283 + 0 + 369 + 4 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (12830369471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10682472 + ... + 10683672.

It is an arithmetic number, because the mean of its divisors is an integer number (232186734).

Almost surely, 212830369472 is an apocalyptic number.

12830369472 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 12830369472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19503685656).

12830369472 is an abundant number, since it is smaller than the sum of its proper divisors (26177001840).

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

12830369472 is a wasteful number, since it uses less digits than its factorization.

12830369472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 12830369472 in words is "twelve billion, eight hundred thirty million, three hundred sixty-nine thousand, four hundred seventy-two".