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5082562324350 = 2335277110969497
BaseRepresentation
bin100100111110110000001…
…0100100110011101111110
3122222212222111200202122000
41021331200110212131332
51131233041423334400
614450521421403130
71033126426640130
oct111754024463576
918885874622560
105082562324350
11168a558a25875
126a104ba094a6
132ab38c00a424
14137dd6957050
158c320b2c600
hex49f6052677e

5082562324350 has 384 divisors, whose sum is σ = 16380623001600. Its totient is φ = 1134841881600.

The previous prime is 5082562324327. The next prime is 5082562324363. The reversal of 5082562324350 is 534232652805.

5082562324350 is a `hidden beast` number, since 5 + 0 + 8 + 2 + 562 + 32 + 4 + 3 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 5082562324296 and 5082562324305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 73098802 + ... + 73168298.

It is an arithmetic number, because the mean of its divisors is an integer number (42657872400).

Almost surely, 25082562324350 is an apocalyptic number.

5082562324350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5082562324350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8190311500800).

5082562324350 is an abundant number, since it is smaller than the sum of its proper divisors (11298060677250).

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

5082562324350 is a wasteful number, since it uses less digits than its factorization.

5082562324350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69705 (or 69694 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 5082562324350 in words is "five trillion, eighty-two billion, five hundred sixty-two million, three hundred twenty-four thousand, three hundred fifty".