Search a number
-
+
5143701600 = 2532522389349
BaseRepresentation
bin1001100101001011…
…01010100001100000
3111021110210010002200
410302211222201200
541013241422400
62210223213200
7241315512402
oct46245524140
914243703080
105143701600
1121aa538164
12bb6747200
1363c863a1b
1436b1cab72
1520188eb00
hex13296a860

5143701600 has 432 divisors, whose sum is σ = 19194084000. Its totient is φ = 1293557760.

The previous prime is 5143701587. The next prime is 5143701659. The reversal of 5143701600 is 61073415.

5143701600 is a `hidden beast` number, since 51 + 4 + 3 + 7 + 0 + 1 + 600 = 666.

It is a super-2 number, since 2×51437016002 = 52915332299685120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 14738226 + ... + 14738574.

It is an arithmetic number, because the mean of its divisors is an integer number (44430750).

Almost surely, 25143701600 is an apocalyptic number.

5143701600 is a gapful number since it is divisible by the number (50) 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 5143701600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9597042000).

5143701600 is an abundant number, since it is smaller than the sum of its proper divisors (14050382400).

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

5143701600 is a wasteful number, since it uses less digits than its factorization.

5143701600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5143701600 is about 71719.6040145231. The cubic root of 5143701600 is about 1726.2032185093.

The spelling of 5143701600 in words is "five billion, one hundred forty-three million, seven hundred one thousand, six hundred".