Search a number
-
+
254252325704 = 231329137615337
BaseRepresentation
bin1110110011001010011…
…1101001101101001000
3220022021021121101100212
43230302213221231020
513131202043410304
6312445113420252
724240416052536
oct3546247515510
9808237541325
10254252325704
119891189a513
124133870a688
131ac8c058750
14c43d489156
1569312d266e
hex3b329e9b48

254252325704 has 64 divisors (see below), whose sum is σ = 534974857200. Its totient is φ = 112473575424.

The previous prime is 254252325629. The next prime is 254252325713. The reversal of 254252325704 is 407523252452.

It can be written as a sum of positive squares in 8 ways, for example, as 73544016100 + 180708309604 = 271190^2 + 425098^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105524 + ... + 720860.

Almost surely, 2254252325704 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 254252325704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267487428600).

254252325704 is an abundant number, since it is smaller than the sum of its proper divisors (280722531496).

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

254252325704 is a wasteful number, since it uses less digits than its factorization.

254252325704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615522 (or 615518 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 41.

The spelling of 254252325704 in words is "two hundred fifty-four billion, two hundred fifty-two million, three hundred twenty-five thousand, seven hundred four".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 137 232 274 377 548 754 1096 1508 1781 3016 3562 3973 7124 7946 14248 15892 31784 51649 103298 206596 413192 615337 1230674 2461348 4922696 7999381 15998762 17844773 31997524 35689546 63995048 71379092 84301169 142758184 168602338 231982049 337204676 463964098 674409352 927928196 1095915197 1855856392 2191830394 2444733901 4383660788 4889467802 8767321576 9778935604 19557871208 31781540713 63563081426 127126162852 254252325704