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12246627840 = 293519234189
BaseRepresentation
bin10110110011111010…
…01011011000000000
31011121111012011010220
423121331023120000
5200040114042330
65343115423040
7612324422226
oct133175133000
934544164126
1012246627840
1152149a1837
122459454a80
131202296365
1484269ab16
154ba23a710
hex2d9f4b600

12246627840 has 640 divisors, whose sum is σ = 44547148800. Its totient is φ = 2854748160.

The previous prime is 12246627829. The next prime is 12246627847. The reversal of 12246627840 is 4872664221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a junction number, because it is equal to n+sod(n) for n = 12246627792 and 12246627801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12246627847) 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, 137602516 + ... + 137602604.

It is an arithmetic number, because the mean of its divisors is an integer number (69604920).

Almost surely, 212246627840 is an apocalyptic number.

12246627840 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 12246627840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22273574400).

12246627840 is an abundant number, since it is smaller than the sum of its proper divisors (32300520960).

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

12246627840 is a wasteful number, since it uses less digits than its factorization.

12246627840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 182 counting only the distinct ones).

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

The spelling of 12246627840 in words is "twelve billion, two hundred forty-six million, six hundred twenty-seven thousand, eight hundred forty".