Search a number
-
+
12847968000 = 28325376373
BaseRepresentation
bin10111111011100110…
…00110111100000000
31020011101201101202200
423331303012330000
5202303034434000
65522520313200
7633245632440
oct137563067400
936141641680
1012847968000
1154a338557a
1225a6912800
131299a40c3a
1489c4b2120
15502e20500
hex2fdcc6f00

12847968000 has 432 divisors, whose sum is σ = 52843417536. Its totient is φ = 2936217600.

The previous prime is 12847967989. The next prime is 12847968013. The reversal of 12847968000 is 86974821.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2012814 + ... + 2019186.

Almost surely, 212847968000 is an apocalyptic number.

12847968000 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 12847968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26421708768).

12847968000 is an abundant number, since it is smaller than the sum of its proper divisors (39995449536).

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

12847968000 is an equidigital number, since it uses as much as digits as its factorization.

12847968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6417 (or 6390 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 12847968000 in words is "twelve billion, eight hundred forty-seven million, nine hundred sixty-eight thousand".