Search a number
-
+
12630712320 = 21338547
BaseRepresentation
bin10111100001101100…
…10110000000000000
31012121020220200000000
423300312112000000
5201331430243240
65445200000000
7625000166112
oct136066260000
935536820000
1012630712320
1153a1787126
122546000000
131263a24695
1487b6bb3b2
154ddd08430
hex2f0d96000

12630712320 has 504 divisors, whose sum is σ = 46432829664. Its totient is φ = 3296526336.

The previous prime is 12630712319. The next prime is 12630712333. The reversal of 12630712320 is 2321703621.

12630712320 is a `hidden beast` number, since 1 + 2 + 630 + 7 + 1 + 2 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 268738537 + ... + 268738583.

Almost surely, 212630712320 is an apocalyptic number.

12630712320 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 12630712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23216414832).

12630712320 is an abundant number, since it is smaller than the sum of its proper divisors (33802117344).

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

12630712320 is an frugal number, since it uses more digits than its factorization.

12630712320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 12630712320 in words is "twelve billion, six hundred thirty million, seven hundred twelve thousand, three hundred twenty".