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5185067040 = 253357915193
BaseRepresentation
bin1001101010000110…
…11101100000100000
3111101100121200211000
410311003131200200
541104334121130
62214301552000
7242330225346
oct46503354040
914340550730
105185067040
11222092067a
121008575600
136482b7c0a
143728b7996
15205311260
hex1350dd820

5185067040 has 192 divisors, whose sum is σ = 18378662400. Its totient is φ = 1365092352.

The previous prime is 5185067033. The next prime is 5185067047. The reversal of 5185067040 is 407605815.

It is an interprime number because it is at equal distance from previous prime (5185067033) and next prime (5185067047).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5185066986 and 5185067004.

It is not an unprimeable number, because it can be changed into a prime (5185067047) 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 31 ways as a sum of consecutive naturals, for example, 333684 + ... + 348876.

It is an arithmetic number, because the mean of its divisors is an integer number (95722200).

Almost surely, 25185067040 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 5185067040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9189331200).

5185067040 is an abundant number, since it is smaller than the sum of its proper divisors (13193595360).

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

5185067040 is a wasteful number, since it uses less digits than its factorization.

5185067040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15296 (or 15282 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 5185067040 is about 72007.4096187330. The cubic root of 5185067040 is about 1730.8182214372.

The spelling of 5185067040 in words is "five billion, one hundred eighty-five million, sixty-seven thousand, forty".