Search a number
-
+
4523389280256 = 213372111753379
BaseRepresentation
bin100000111010010111100…
…0000101110000000000000
3121000102122202221221212210
41001310233000232000000
51043102400123432011
613342003310422120
7644542542326100
oct101645700560000
917012582857783
104523389280256
1114943a4362550
126107b5b01940
1326a7278628c2
14118d0ca25200
157c9e51956a6
hex41d2f02e000

4523389280256 has 1344 divisors, whose sum is σ = 16556151271680. Its totient is φ = 1082067517440.

The previous prime is 4523389280231. The next prime is 4523389280257. The reversal of 4523389280256 is 6520829833254.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×45233892802562 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4523389280196 and 4523389280205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4523389280257) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11935063875 + ... + 11935064253.

Almost surely, 24523389280256 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 4523389280256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8278075635840).

4523389280256 is an abundant number, since it is smaller than the sum of its proper divisors (12032761991424).

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

4523389280256 is a wasteful number, since it uses less digits than its factorization.

4523389280256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 57.

The spelling of 4523389280256 in words is "four trillion, five hundred twenty-three billion, three hundred eighty-nine million, two hundred eighty thousand, two hundred fifty-six".