Search a number
-
+
5175129120 = 25357317432
BaseRepresentation
bin1001101000111011…
…00011010000100000
3111100122220210112220
410310131203100200
541044313112440
62213304551040
7242146605000
oct46435432040
914318823486
105175129120
112216253117
121005182480
136462186a5
1437144c000
152044eb8d0
hex134763420

5175129120 has 576 divisors, whose sum is σ = 20607955200. Its totient is φ = 1087414272.

The previous prime is 5175129109. The next prime is 5175129121. The reversal of 5175129120 is 219215715.

It is a super-2 number, since 2×51751291202 = 53563922817343948800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5175129121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120351819 + ... + 120351861.

It is an arithmetic number, because the mean of its divisors is an integer number (35777700).

Almost surely, 25175129120 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 5175129120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10303977600).

5175129120 is an abundant number, since it is smaller than the sum of its proper divisors (15432826080).

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

5175129120 is a wasteful number, since it uses less digits than its factorization.

5175129120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 33.

The square root of 5175129120 is about 71938.3702901310. The cubic root of 5175129120 is about 1729.7117276142.

The spelling of 5175129120 in words is "five billion, one hundred seventy-five million, one hundred twenty-nine thousand, one hundred twenty".