Search a number
-
+
5135809896 = 233271941103127
BaseRepresentation
bin1001100100001111…
…00011110101101000
3111020220221011201100
410302013203311220
541004231404041
62205342121400
7241161443460
oct46207436550
914226834640
105135809896
1121a6037a98
12bb3b80260
1363b02c989
1436a134ba0
15200d316b6
hex1321e3d68

5135809896 has 384 divisors, whose sum is σ = 17444044800. Its totient is φ = 1332495360.

The previous prime is 5135809879. The next prime is 5135809907. The reversal of 5135809896 is 6989085315.

It is a happy number.

5135809896 is a `hidden beast` number, since 51 + 3 + 580 + 9 + 8 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40439385 + ... + 40439511.

It is an arithmetic number, because the mean of its divisors is an integer number (45427200).

Almost surely, 25135809896 is an apocalyptic number.

5135809896 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5135809896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8722022400).

5135809896 is an abundant number, since it is smaller than the sum of its proper divisors (12308234904).

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

5135809896 is a wasteful number, since it uses less digits than its factorization.

5135809896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The square root of 5135809896 is about 71664.5651350791. The cubic root of 5135809896 is about 1725.3199598046.

The spelling of 5135809896 in words is "five billion, one hundred thirty-five million, eight hundred nine thousand, eight hundred ninety-six".