Search a number
-
+
5130492768 = 253217814211
BaseRepresentation
bin1001100011100110…
…10001101101100000
3111020112221000222200
410301303101231200
541001401232033
62205032133200
7241065316602
oct46163215540
914215830880
105130492768
1121a3036175
12bb2237200
13639bba74b
1436954d172
15200631013
hex131cd1b60

5130492768 has 36 divisors (see below), whose sum is σ = 14589839628. Its totient is φ = 1710164160.

The previous prime is 5130492749. The next prime is 5130492791. The reversal of 5130492768 is 8672940315.

5130492768 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

5130492768 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8906818 + ... + 8907393.

It is an arithmetic number, because the mean of its divisors is an integer number (405273323).

It is a 1-persistent number, because it is pandigital, but 2⋅5130492768 = 10260985536 is not.

Almost surely, 25130492768 is an apocalyptic number.

It is an amenable number.

5130492768 is an abundant number, since it is smaller than the sum of its proper divisors (9459346860).

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

5130492768 is a wasteful number, since it uses less digits than its factorization.

5130492768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17814227 (or 17814216 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5130492768 is about 71627.4581986545. The cubic root of 5130492768 is about 1724.7243436019.

The spelling of 5130492768 in words is "five billion, one hundred thirty million, four hundred ninety-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 17814211 35628422 53442633 71256844 106885266 142513688 160327899 213770532 285027376 320655798 427541064 570054752 641311596 855082128 1282623192 1710164256 2565246384 5130492768