Search a number
-
+
630426316800 = 2123527331193
BaseRepresentation
bin10010010110010000101…
…01100011000000000000
32020021020111100002120110
421023020111203000000
540312103114114200
61201340331511320
763355360164000
oct11131025430000
92207214302513
10630426316800
112233a9247765
12a22205b8540
13475ab449567
1422727184000
15115eb107b50
hex92c8563000

630426316800 has 1248 divisors, whose sum is σ = 2522146508800. Its totient is φ = 138726604800.

The previous prime is 630426316787. The next prime is 630426316841. The reversal of 630426316800 is 8613624036.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3266457504 + ... + 3266457696.

Almost surely, 2630426316800 is an apocalyptic number.

630426316800 is a gapful number since it is divisible by the number (60) 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 630426316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261073254400).

630426316800 is an abundant number, since it is smaller than the sum of its proper divisors (1891720192000).

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

630426316800 is a wasteful number, since it uses less digits than its factorization.

630426316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 630426316800 in words is "six hundred thirty billion, four hundred twenty-six million, three hundred sixteen thousand, eight hundred".