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630753480000 = 2634547229137
BaseRepresentation
bin10010010110110111101…
…01100100110101000000
32020022002021221201010000
421023123311210311000
540313240342330000
61201433020040000
763366442055400
oct11133365446500
92208067851100
10630753480000
11223556994276
12a22b2093000
1347631168057
14227587c8800
1511619bd0000
hex92dbd64d40

630753480000 has 2100 divisors, whose sum is σ = 2832143939460. Its totient is φ = 138184704000.

The previous prime is 630753479999. The next prime is 630753480013. The reversal of 630753480000 is 84357036.

It is a happy number.

630753480000 is a `hidden beast` number, since 6 + 307 + 5 + 348 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 454071127104 + 176682352896 = 673848^2 + 420336^2 .

It is a tau number, because it is divible by the number of its divisors (2100).

It is a super-2 number, since 2×6307534800002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 4604039932 + ... + 4604040068.

Almost surely, 2630753480000 is an apocalyptic number.

630753480000 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 630753480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416071969730).

630753480000 is an abundant number, since it is smaller than the sum of its proper divisors (2201390459460).

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

630753480000 is a wasteful number, since it uses less digits than its factorization.

630753480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 630753480000 in words is "six hundred thirty billion, seven hundred fifty-three million, four hundred eighty thousand".