Search a number
-
+
4959513006 = 237271435733
BaseRepresentation
bin1001001111001110…
…00010100110101110
3110210122012100211220
410213213002212232
540124113404011
62140043324210
7233621110410
oct44747024656
913718170756
104959513006
112115574588
12b64b20666
136106544a6
143509629b0
151e060a506
hex1279c29ae

4959513006 has 32 divisors (see below), whose sum is σ = 11377886208. Its totient is φ = 1411771680.

The previous prime is 4959512953. The next prime is 4959513017. The reversal of 4959513006 is 6003159594.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206485 + ... + 229248.

It is an arithmetic number, because the mean of its divisors is an integer number (355558944).

Almost surely, 24959513006 is an apocalyptic number.

4959513006 is an abundant number, since it is smaller than the sum of its proper divisors (6418373202).

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

4959513006 is a wasteful number, since it uses less digits than its factorization.

4959513006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436016.

The product of its (nonzero) digits is 145800, while the sum is 42.

The square root of 4959513006 is about 70423.8099366968. The cubic root of 4959513006 is about 1705.3479802182.

The spelling of 4959513006 in words is "four billion, nine hundred fifty-nine million, five hundred thirteen thousand, six".

Divisors: 1 2 3 6 7 14 21 42 271 542 813 1626 1897 3794 5691 11382 435733 871466 1307199 2614398 3050131 6100262 9150393 18300786 118083643 236167286 354250929 708501858 826585501 1653171002 2479756503 4959513006