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63000342072 = 23325935342013
BaseRepresentation
bin111010101011000111…
…001110111000111000
320000121121020222022200
4322223013032320320
52013011041421242
644535243550200
74360131033453
oct725307167070
9200547228280
1063000342072
112479a061508
121026282b360
135c30231325
14309914849a
15198ad6304c
hexeab1cee38

63000342072 has 96 divisors (see below), whose sum is σ = 174013585200. Its totient is φ = 20585207808.

The previous prime is 63000342059. The next prime is 63000342089. The reversal of 63000342072 is 27024300036.

63000342072 is a `hidden beast` number, since 630 + 0 + 0 + 3 + 4 + 20 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1478538 + ... + 1520550.

Almost surely, 263000342072 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 63000342072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87006792600).

63000342072 is an abundant number, since it is smaller than the sum of its proper divisors (111013243128).

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

63000342072 is a wasteful number, since it uses less digits than its factorization.

63000342072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42437 (or 42430 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The spelling of 63000342072 in words is "sixty-three billion, three hundred forty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 236 353 354 472 531 706 708 1059 1062 1412 1416 2118 2124 2824 3177 4236 4248 6354 8472 12708 20827 25416 41654 42013 62481 83308 84026 124962 126039 166616 168052 187443 249924 252078 336104 374886 378117 499848 504156 749772 756234 1008312 1499544 1512468 2478767 3024936 4957534 7436301 9915068 14830589 14872602 19830136 22308903 29661178 29745204 44491767 44617806 59322356 59490408 88983534 89235612 118644712 133475301 177967068 178471224 266950602 355934136 533901204 875004751 1067802408 1750009502 2625014253 3500019004 5250028506 7000038008 7875042759 10500057012 15750085518 21000114024 31500171036 63000342072