Search a number
-
+
5196825216 = 2736116183
BaseRepresentation
bin1001101011100000…
…10100001010000000
3111102011202002000000
410311300110022000
541120341401331
62215402000000
7242532166632
oct46560241200
914364662000
105196825216
112227521780
1210104a6000
1364a873b0b
14374298a52
152063850e6
hex135c14280

5196825216 has 448 divisors, whose sum is σ = 17418572640. Its totient is φ = 1530316800.

The previous prime is 5196825209. The next prime is 5196825287. The reversal of 5196825216 is 6125286915.

5196825216 is a `hidden beast` number, since 519 + 6 + 82 + 52 + 1 + 6 = 666.

Its product of digits (259200) is a multiple of the sum of its prime divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 62612311 + ... + 62612393.

Almost surely, 25196825216 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 5196825216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8709286320).

5196825216 is an abundant number, since it is smaller than the sum of its proper divisors (12221747424).

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

5196825216 is an equidigital number, since it uses as much as digits as its factorization.

5196825216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 160 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 5196825216 is about 72089.0089819523. The cubic root of 5196825216 is about 1732.1255591531.

The spelling of 5196825216 in words is "five billion, one hundred ninety-six million, eight hundred twenty-five thousand, two hundred sixteen".