Search a number
-
+
630663335280 = 2432511219381001
BaseRepresentation
bin10010010110101100111…
…01101100110101110000
32020021212000022212210200
421023112131230311300
540313044303212110
61201420035555200
763364265620656
oct11132635546560
92207760285720
10630663335280
11223510014200
12a2287a5bb00
1347618595294
142274a840dd6
1511611d256c0
hex92d676cd70

630663335280 has 360 divisors, whose sum is σ = 2450559143760. Its totient is φ = 144840960000.

The previous prime is 630663335257. The next prime is 630663335297. The reversal of 630663335280 is 82533366036.

630663335280 is a `hidden beast` number, since 6 + 3 + 0 + 6 + 633 + 3 + 5 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 1464780 + ... + 1845780.

Almost surely, 2630663335280 is an apocalyptic number.

630663335280 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 630663335280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225279571880).

630663335280 is an abundant number, since it is smaller than the sum of its proper divisors (1819895808480).

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

630663335280 is a wasteful number, since it uses less digits than its factorization.

630663335280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381061 (or 381041 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 630663335280 in words is "six hundred thirty billion, six hundred sixty-three million, three hundred thirty-five thousand, two hundred eighty".