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5122157040 = 243357111323103
BaseRepresentation
bin1001100010100110…
…11110100111110000
3111012222020112112000
410301103132213300
540442233011130
62204133334000
7240634421310
oct46123364760
914188215460
105122157040
112199362440
12bab497300
1363825c570
143683bd440
151eea36260
hex1314de9f0

5122157040 has 1280 divisors, whose sum is σ = 24958402560. Its totient is φ = 930631680.

The previous prime is 5122157021. The next prime is 5122157041. The reversal of 5122157040 is 407512215.

5122157040 is a `hidden beast` number, since 51 + 2 + 2 + 1 + 570 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5122156995 and 5122157013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5122157041) 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, 49729629 + ... + 49729731.

It is an arithmetic number, because the mean of its divisors is an integer number (19498752).

Almost surely, 25122157040 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 5122157040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12479201280).

5122157040 is an abundant number, since it is smaller than the sum of its proper divisors (19836245520).

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

5122157040 is a wasteful number, since it uses less digits than its factorization.

5122157040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 5122157040 is about 71569.2464680186. The cubic root of 5122157040 is about 1723.7897598036.

Adding to 5122157040 its reverse (407512215), we get a palindrome (5529669255).

The spelling of 5122157040 in words is "five billion, one hundred twenty-two million, one hundred fifty-seven thousand, forty".