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52544699424 = 253271719231137
BaseRepresentation
bin110000111011111010…
…000111110000100000
312000121221010021222200
4300323322013300200
51330102420340144
640045543133200
73540051401340
oct607372076040
9160557107880
1052544699424
1120314127428
12a225144200
134c5501ca29
142786698d20
151577e9ec69
hexc3be87c20

52544699424 has 864 divisors, whose sum is σ = 198426848256. Its totient is φ = 12859637760.

The previous prime is 52544699401. The next prime is 52544699447. The reversal of 52544699424 is 42499644525.

It is a happy number.

52544699424 is a `hidden beast` number, since 5 + 2 + 544 + 6 + 9 + 94 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (52544699401) and next prime (52544699447).

Its product of digits (12441600) is a multiple of the sum of its prime divisors (216).

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 143 ways as a sum of consecutive naturals, for example, 383537884 + ... + 383538020.

It is an arithmetic number, because the mean of its divisors is an integer number (229660704).

Almost surely, 252544699424 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 52544699424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99213424128).

52544699424 is an abundant number, since it is smaller than the sum of its proper divisors (145882148832).

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

52544699424 is a wasteful number, since it uses less digits than its factorization.

52544699424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 216 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 52544699424 in words is "fifty-two billion, five hundred forty-four million, six hundred ninety-nine thousand, four hundred twenty-four".