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5052517694784 = 2637731929191
BaseRepresentation
bin100100110000110000110…
…0001011011110101000000
3122220000102122102110000000
41021201201201123311000
51130240024012213114
614425032233000000
71031014045542000
oct111414141336500
918800378373000
105052517694784
1116788405799aa
12697265b53000
132a85b161a501
14136786612000
158b663139e09
hex4986185bd40

5052517694784 has 1792 divisors, whose sum is σ = 19195084800000. Its totient is φ = 1313526896640.

The previous prime is 5052517694761. The next prime is 5052517694789. The reversal of 5052517694784 is 4874967152505.

It is a happy number.

5052517694784 is a `hidden beast` number, since 5 + 0 + 52 + 51 + 7 + 69 + 478 + 4 = 666.

It is a super-2 number, since 2×50525176947842 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5052517694789) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 26452972129 + ... + 26452972319.

Almost surely, 25052517694784 is an apocalyptic number.

5052517694784 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5052517694784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9597542400000).

5052517694784 is an abundant number, since it is smaller than the sum of its proper divisors (14142567105216).

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

5052517694784 is an equidigital number, since it uses as much as digits as its factorization.

5052517694784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 63.

The spelling of 5052517694784 in words is "five trillion, fifty-two billion, five hundred seventeen million, six hundred ninety-four thousand, seven hundred eighty-four".