Search a number
-
+
4005125643 = 33736082213
BaseRepresentation
bin1110111010111001…
…0101111000001011
3101100010100110111210
43232232111320023
531200303010033
61501231424203
7201152002101
oct35656257013
911303313453
104005125643
1117758751a2
12939385063
134ba9c773c
1429dcc9c71
15186938d63
hexeeb95e0b

4005125643 has 8 divisors (see below), whose sum is σ = 5484496528. Its totient is φ = 2597919264.

The previous prime is 4005125629. The next prime is 4005125681. The reversal of 4005125643 is 3465215004.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4005125643 - 213 = 4005117451 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4005125643.

It is not an unprimeable number, because it can be changed into a prime (4005125603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18040996 + ... + 18041217.

It is an arithmetic number, because the mean of its divisors is an integer number (685562066).

Almost surely, 24005125643 is an apocalyptic number.

4005125643 is a deficient number, since it is larger than the sum of its proper divisors (1479370885).

4005125643 is a wasteful number, since it uses less digits than its factorization.

4005125643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36082253.

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 4005125643 is about 63286.0619963037. The cubic root of 4005125643 is about 1588.0788001502.

The spelling of 4005125643 in words is "four billion, five million, one hundred twenty-five thousand, six hundred forty-three".

Divisors: 1 3 37 111 36082213 108246639 1335041881 4005125643