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500868953640 = 2332511285713417
BaseRepresentation
bin1110100100111100001…
…11011011011000101000
31202212211102022010112200
413102132013123120220
531201234423004030
61022032423540200
751120666601026
oct7223607333050
91685742263480
10500868953640
11183465515200
12810a3bba660
1338302194123
141a3567bb716
15d06707ad60
hex749e1db628

500868953640 has 288 divisors, whose sum is σ = 1791482532840. Its totient is φ = 121272053760.

The previous prime is 500868953441. The next prime is 500868953647. The reversal of 500868953640 is 46359868005.

It is a happy number.

500868953640 is a `hidden beast` number, since 5 + 0 + 0 + 8 + 68 + 9 + 536 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 464913967716 + 35954985924 = 681846^2 + 189618^2 .

It is not an unprimeable number, because it can be changed into a prime (500868953647) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37324212 + ... + 37337628.

Almost surely, 2500868953640 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 500868953640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895741266420).

500868953640 is an abundant number, since it is smaller than the sum of its proper divisors (1290613579200).

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

500868953640 is a wasteful number, since it uses less digits than its factorization.

500868953640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14313 (or 14295 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 500868953640 in words is "five hundred billion, eight hundred sixty-eight million, nine hundred fifty-three thousand, six hundred forty".