Search a number
-
+
5363456736 = 2531129434073
BaseRepresentation
bin1001111111010111…
…11101101011100000
3111211210021211110210
410333223331223200
541441021103421
62244113254120
7246624426051
oct47753755340
914753254423
105363456736
112302593480
121058264340
13676246b51
1438c472728
15215cec576
hex13fafdae0

5363456736 has 192 divisors, whose sum is σ = 16262104320. Its totient is φ = 1532375040.

The previous prime is 5363456719. The next prime is 5363456753. The reversal of 5363456736 is 6376543635.

It is an interprime number because it is at equal distance from previous prime (5363456719) and next prime (5363456753).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1314796 + ... + 1318868.

It is an arithmetic number, because the mean of its divisors is an integer number (84698460).

Almost surely, 25363456736 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 5363456736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8131052160).

5363456736 is an abundant number, since it is smaller than the sum of its proper divisors (10898647584).

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

5363456736 is a wasteful number, since it uses less digits than its factorization.

5363456736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4169 (or 4161 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 48.

The square root of 5363456736 is about 73235.6247737397. The cubic root of 5363456736 is about 1750.4441578462. Note that the first 3 decimals are identical.

The spelling of 5363456736 in words is "five billion, three hundred sixty-three million, four hundred fifty-six thousand, seven hundred thirty-six".