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12622248672 = 25311173137613
BaseRepresentation
bin10111100000101100…
…00011101011100000
31012120122222200001120
423300112003223200
5201322243424142
65444254332240
7624535225545
oct136026035340
935518880046
1012622248672
115397a26280
1225431ba080
1312620501c7
1487a516bcc
154dd1d57ec
hex2f0583ae0

12622248672 has 384 divisors, whose sum is σ = 40640237568. Its totient is φ = 3384115200.

The previous prime is 12622248631. The next prime is 12622248677. The reversal of 12622248672 is 27684222621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12622248677) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20590638 + ... + 20591250.

It is an arithmetic number, because the mean of its divisors is an integer number (105833952).

Almost surely, 212622248672 is an apocalyptic number.

12622248672 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 12622248672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20320118784).

12622248672 is an abundant number, since it is smaller than the sum of its proper divisors (28017988896).

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

12622248672 is a wasteful number, since it uses less digits than its factorization.

12622248672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 714 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The spelling of 12622248672 in words is "twelve billion, six hundred twenty-two million, two hundred forty-eight thousand, six hundred seventy-two".