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5160744090 = 23651923753
BaseRepresentation
bin1001100111001101…
…01011010010011010
3111022122211222000000
410303212223102122
541032122302330
62212032353430
7241613413065
oct46346532232
914278758000
105160744090
112209118467
1210003a5876
1364324cc38
1436d5858dc
15203109560
hex1339ab49a

5160744090 has 336 divisors, whose sum is σ = 15381369288. Its totient is φ = 1244595456.

The previous prime is 5160744089. The next prime is 5160744107. The reversal of 5160744090 is 904470615.

5160744090 is a `hidden beast` number, since 5 + 1 + 607 + 4 + 40 + 9 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5084688249 + 76055841 = 71307^2 + 8721^2 .

It is a Curzon number.

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 167 ways as a sum of consecutive naturals, for example, 97372504 + ... + 97372556.

Almost surely, 25160744090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5160744090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7690684644).

5160744090 is an abundant number, since it is smaller than the sum of its proper divisors (10220625198).

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

5160744090 is a wasteful number, since it uses less digits than its factorization.

5160744090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5160744090 is about 71838.3190922505. The cubic root of 5160744090 is about 1728.1075779379.

The spelling of 5160744090 in words is "five billion, one hundred sixty million, seven hundred forty-four thousand, ninety".