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5170199760 = 24335111671303
BaseRepresentation
bin1001101000010101…
…01111110011010000
3111100022122100202000
410310022233303100
541042032343020
62213011154000
7242056654455
oct46412576320
914308570660
105170199760
112213496670
1210035a5900
136451b0acb
1437092782c
15203d76090
hex1342afcd0

5170199760 has 320 divisors, whose sum is σ = 19558748160. Its totient is φ = 1244920320.

The previous prime is 5170199711. The next prime is 5170199761. The reversal of 5170199760 is 679910715.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5170199761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3967269 + ... + 3968571.

It is an arithmetic number, because the mean of its divisors is an integer number (61121088).

Almost surely, 25170199760 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 5170199760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9779374080).

5170199760 is an abundant number, since it is smaller than the sum of its proper divisors (14388548400).

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

5170199760 is a wasteful number, since it uses less digits than its factorization.

5170199760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 45.

The square root of 5170199760 is about 71904.1011347753. The cubic root of 5170199760 is about 1729.1623641628.

The spelling of 5170199760 in words is "five billion, one hundred seventy million, one hundred ninety-nine thousand, seven hundred sixty".