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630813423240 = 2334571113672903
BaseRepresentation
bin10010010110111110110…
…10001111011010001000
32020022020110202010210000
421023133122033122020
540313401214020430
61201443000523000
763401100425130
oct11133732173210
92208213663700
10630813423240
11223587806540
12a230a180460
13476406c5220
142276274dac0
15116200c0e60
hex92df68f688

630813423240 has 1280 divisors, whose sum is σ = 2890231787520. Its totient is φ = 119148226560.

The previous prime is 630813423223. The next prime is 630813423263. The reversal of 630813423240 is 42324318036.

630813423240 is a `hidden beast` number, since 6 + 308 + 1 + 342 + 3 + 2 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 630813423195 and 630813423204.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 217295629 + ... + 217298531.

It is an arithmetic number, because the mean of its divisors is an integer number (2257993584).

Almost surely, 2630813423240 is an apocalyptic number.

630813423240 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 630813423240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445115893760).

630813423240 is an abundant number, since it is smaller than the sum of its proper divisors (2259418364280).

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

630813423240 is a wasteful number, since it uses less digits than its factorization.

630813423240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 630813423240 in words is "six hundred thirty billion, eight hundred thirteen million, four hundred twenty-three thousand, two hundred forty".