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5122293120 = 273357174753
BaseRepresentation
bin1001100010100111…
…11111110110000000
3111012222111110012000
410301103333312000
540442301334440
62204140304000
7240635526120
oct46123776600
914188443160
105122293120
1121994456aa
12bab542000
136382a9499
14368416c80
151eea61730
hex1314ffd80

5122293120 has 1024 divisors, whose sum is σ = 22842777600. Its totient is φ = 1058144256.

The previous prime is 5122293109. The next prime is 5122293151. The reversal of 5122293120 is 213922215.

It is a happy number.

5122293120 is a `hidden beast` number, since 512 + 2 + 29 + 3 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 96647014 + ... + 96647066.

It is an arithmetic number, because the mean of its divisors is an integer number (22307400).

Almost surely, 25122293120 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 5122293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11421388800).

5122293120 is an abundant number, since it is smaller than the sum of its proper divisors (17720484480).

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

5122293120 is a wasteful number, since it uses less digits than its factorization.

5122293120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5122293120 is about 71570.1971493722. The cubic root of 5122293120 is about 1723.8050249371.

The spelling of 5122293120 in words is "five billion, one hundred twenty-two million, two hundred ninety-three thousand, one hundred twenty".