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630283838853312 = 2634731195358603
BaseRepresentation
bin1000111101001111010110010…
…0010100101001000011000000
310001122122112202102110122110000
42033103311210110221003000
51130103032300221301222
610112300222011240000
7246521335043255220
oct21723654424510300
93048575672418400
10630283838853312
11172911969626616
125a835292449000
132108c6847bbb87
14b18dc8723c080
154cd01e092c9ac
hex23d3d645290c0

630283838853312 has 560 divisors, whose sum is σ = 2144417321958912. Its totient is φ = 179310643384320.

The previous prime is 630283838853301. The next prime is 630283838853313. The reversal of 630283838853312 is 213358838382036.

630283838853312 is a `hidden beast` number, since 6 + 3 + 0 + 2 + 8 + 3 + 8 + 3 + 88 + 533 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 630283838853312.

It is not an unprimeable number, because it can be changed into a prime (630283838853313) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10755117003 + ... + 10755175605.

Almost surely, 2630283838853312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630283838853312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072208660979456).

630283838853312 is an abundant number, since it is smaller than the sum of its proper divisors (1514133483105600).

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

630283838853312 is a wasteful number, since it uses less digits than its factorization.

630283838853312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59898 (or 59879 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 630283838853312 in words is "six hundred thirty trillion, two hundred eighty-three billion, eight hundred thirty-eight million, eight hundred fifty-three thousand, three hundred twelve".