Search a number
-
+
5268083184 = 2434713192351
BaseRepresentation
bin1001110100000000…
…01001000111110000
3111121010211100120000
410322000021013300
541242112130214
62230425150000
7244355653050
oct47200110760
914533740500
105268083184
112263771961
12103032b300
1365c5630b0
1437d927560
1520c75d809
hex13a0091f0

5268083184 has 400 divisors, whose sum is σ = 19762068480. Its totient is φ = 1315699200.

The previous prime is 5268083143. The next prime is 5268083237. The reversal of 5268083184 is 4813808625.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2239609 + ... + 2241959.

Almost surely, 25268083184 is an apocalyptic number.

5268083184 is a gapful number since it is divisible by the number (54) 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 5268083184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9881034240).

5268083184 is an abundant number, since it is smaller than the sum of its proper divisors (14493985296).

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

5268083184 is a wasteful number, since it uses less digits than its factorization.

5268083184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 5268083184 is about 72581.5622868508. The cubic root of 5268083184 is about 1740.0065160279.

The spelling of 5268083184 in words is "five billion, two hundred sixty-eight million, eighty-three thousand, one hundred eighty-four".