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252443568016 = 24176714999241
BaseRepresentation
bin1110101100011011001…
…1110010011110010000
3220010121020002222021101
43223012303302132100
513114001023134031
6311545421434144
724144533631523
oct3530663623620
9803536088241
10252443568016
11980738a4052
1240b12a0b954
131aa613c0423
14c30b172bba
1568775e9361
hex3ac6cf2790

252443568016 has 80 divisors (see below), whose sum is σ = 526017672000. Its totient is φ = 116933160960.

The previous prime is 252443568011. The next prime is 252443568029. The reversal of 252443568016 is 610865344252.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (252443568011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27313156 + ... + 27322396.

It is an arithmetic number, because the mean of its divisors is an integer number (6575220900).

Almost surely, 2252443568016 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 252443568016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263008836000).

252443568016 is an abundant number, since it is smaller than the sum of its proper divisors (273574103984).

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

252443568016 is a wasteful number, since it uses less digits than its factorization.

252443568016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10832 (or 10826 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 46.

The spelling of 252443568016 in words is "two hundred fifty-two billion, four hundred forty-three million, five hundred sixty-eight thousand, sixteen".

Divisors: 1 2 4 8 16 17 34 67 68 134 136 268 272 536 1072 1139 1499 2278 2998 4556 5996 9112 9241 11992 18224 18482 23984 25483 36964 50966 73928 100433 101932 147856 157097 200866 203864 314194 401732 407728 619147 628388 803464 1238294 1256776 1606928 1707361 2476588 2513552 3414722 4953176 6829444 9906352 10525499 13658888 13852259 21050998 27317776 27704518 42101996 55409036 84203992 110818072 168407984 221636144 235488403 470976806 928101353 941953612 1856202706 1883907224 3712405412 3767814448 7424810824 14849621648 15777723001 31555446002 63110892004 126221784008 252443568016