Search a number
-
+
5148921600 = 28335283359
BaseRepresentation
bin1001100101110011…
…00100111100000000
3111021211121022121000
410302321210330000
541021110442400
62210531132000
7241411053144
oct46271447400
914254538530
105148921600
112202483009
12bb8444000
13640970994
1436bb89224
15202071600
hex132e64f00

5148921600 has 432 divisors, whose sum is σ = 19161273600. Its totient is φ = 1352724480.

The previous prime is 5148921577. The next prime is 5148921601. The reversal of 5148921600 is 61298415.

5148921600 is a `hidden beast` number, since 5 + 1 + 48 + 9 + 2 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×51489216002 = 53022787285893120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5148921601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14342221 + ... + 14342579.

It is an arithmetic number, because the mean of its divisors is an integer number (44354800).

Almost surely, 25148921600 is an apocalyptic number.

5148921600 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 5148921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9580636800).

5148921600 is an abundant number, since it is smaller than the sum of its proper divisors (14012352000).

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

5148921600 is a wasteful number, since it uses less digits than its factorization.

5148921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 5148921600 is about 71755.9865098376. The cubic root of 5148921600 is about 1726.7869572946.

The spelling of 5148921600 in words is "five billion, one hundred forty-eight million, nine hundred twenty-one thousand, six hundred".