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52716342240 = 2535523167353
BaseRepresentation
bin110001000110001000…
…111000101111100000
312001001220002122200000
4301012020320233200
51330430340422430
640114554100000
73544234341612
oct610610705740
9161056078600
1052716342240
11203a20011a1
12a27271a600
134c81758a23
1427a13b8db2
1515880a6e60
hexc46238be0

52716342240 has 576 divisors, whose sum is σ = 196388914176. Its totient is φ = 13328105472.

The previous prime is 52716342223. The next prime is 52716342257. The reversal of 52716342240 is 4224361725.

52716342240 is a `hidden beast` number, since 5 + 2 + 71 + 6 + 342 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (52716342223) and next prime (52716342257).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 52716342195 and 52716342204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149337904 + ... + 149338256.

It is an arithmetic number, because the mean of its divisors is an integer number (340952976).

Almost surely, 252716342240 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 52716342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98194457088).

52716342240 is an abundant number, since it is smaller than the sum of its proper divisors (143672571936).

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

52716342240 is a wasteful number, since it uses less digits than its factorization.

52716342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 52716342240 in words is "fifty-two billion, seven hundred sixteen million, three hundred forty-two thousand, two hundred forty".