Search a number
-
+
4930664256 = 263271279629
BaseRepresentation
bin1001001011110001…
…11111011101000000
3110201121220200210200
410211320333131000
540044222224011
62133133125200
7233120645310
oct44570773500
913647820720
104930664256
112100260041
12b57329800
1360769351b
1434abb3440
151dcd0c856
hex125e3f740

4930664256 has 168 divisors, whose sum is σ = 16280709120. Its totient is φ = 1397523456.

The previous prime is 4930664237. The next prime is 4930664311. The reversal of 4930664256 is 6524660394.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×49306642562 = 48622900010792067072, 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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 507250 + ... + 516878.

Almost surely, 24930664256 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 4930664256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8140354560).

4930664256 is an abundant number, since it is smaller than the sum of its proper divisors (11350044864).

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

4930664256 is a wasteful number, since it uses less digits than its factorization.

4930664256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9781 (or 9768 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 4930664256 is about 70218.6887943658. The cubic root of 4930664256 is about 1702.0349628715.

The spelling of 4930664256 in words is "four billion, nine hundred thirty million, six hundred sixty-four thousand, two hundred fifty-six".