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12830836512 = 2531331418089
BaseRepresentation
bin10111111001100011…
…10000011100100000
31020010012111000210010
423330301300130200
5202234143232022
65521105204520
7632650211424
oct137461603440
936105430703
1012830836512
11549474441a
1225a1030740
131296323370
1489a0d2b84
1550168950c
hex2fcc70720

12830836512 has 192 divisors, whose sum is σ = 38359802880. Its totient is φ = 3726950400.

The previous prime is 12830836483. The next prime is 12830836523. The reversal of 12830836512 is 21563803821.

It is a super-2 number, since 2×128308365122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1582164 + ... + 1590252.

It is an arithmetic number, because the mean of its divisors is an integer number (199790640).

Almost surely, 212830836512 is an apocalyptic number.

12830836512 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 12830836512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19179901440).

12830836512 is an abundant number, since it is smaller than the sum of its proper divisors (25528966368).

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

12830836512 is a wasteful number, since it uses less digits than its factorization.

12830836512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8187 (or 8179 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 12830836512 in words is "twelve billion, eight hundred thirty million, eight hundred thirty-six thousand, five hundred twelve".