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52321386240 = 283452337593
BaseRepresentation
bin110000101110100110…
…001111111100000000
312000001100220210220000
4300232212033330000
51324123233324430
640011444520000
73531400305444
oct605646177400
9160040823800
1052321386240
112020a070982
12a1823b0000
134c1a992256
142764b68824
15156358ce60
hexc2e98ff00

52321386240 has 720 divisors, whose sum is σ = 200973503808. Its totient is φ = 12963151872.

The previous prime is 52321386239. The next prime is 52321386283. The reversal of 52321386240 is 4268312325.

52321386240 is a `hidden beast` number, since 5 + 2 + 3 + 21 + 3 + 8 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×523213862402 (a number of 22 digits) contains 22 as substring.

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 = 52321386195 and 52321386204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 88231384 + ... + 88231976.

Almost surely, 252321386240 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 52321386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100486751904).

52321386240 is an abundant number, since it is smaller than the sum of its proper divisors (148652117568).

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

52321386240 is a wasteful number, since it uses less digits than its factorization.

52321386240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 52321386240 its reverse (4268312325), we get a palindrome (56589698565).

The spelling of 52321386240 in words is "fifty-two billion, three hundred twenty-one million, three hundred eighty-six thousand, two hundred forty".