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52469242467840 = 29325112173171503
BaseRepresentation
bin10111110111000011100101…
…00011110001011000000000
320212210000021201111022012200
423323201302203301120000
523334124002032432330
6303332012012553200
714023530512200242
oct1373416243613000
9225700251438180
1052469242467840
111579a098559200
125a74a83182800
132337a9cb09033
14cd574c400092
1560eca33aca60
hex2fb8728f1600

52469242467840 has 2880 divisors, whose sum is σ = 221823418392576. Its totient is φ = 11399528448000.

The previous prime is 52469242467749. The next prime is 52469242467913. The reversal of 52469242467840 is 4876424296425.

It is a happy number.

52469242467840 is a `hidden beast` number, since 5 + 2 + 4 + 6 + 92 + 4 + 2 + 467 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-3 number, since 3×524692424678403 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 104312609029 + ... + 104312609531.

Almost surely, 252469242467840 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 52469242467840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110911709196288).

52469242467840 is an abundant number, since it is smaller than the sum of its proper divisors (169354175924736).

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

52469242467840 is a wasteful number, since it uses less digits than its factorization.

52469242467840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 63.

The spelling of 52469242467840 in words is "fifty-two trillion, four hundred sixty-nine billion, two hundred forty-two million, four hundred sixty-seven thousand, eight hundred forty".