Search a number
-
+
4189910401 = 291514492131
BaseRepresentation
bin1111100110111100…
…1111010110000001
3101211000001111112201
43321233033112001
532040104113101
61531432153201
7205554436135
oct37157172601
911730044481
104189910401
111860105776
1298b238801
1351a085431
142ba66b3c5
15197c89e01
hexf9bcf581

4189910401 has 16 divisors (see below), whose sum is σ = 4374864000. Its totient is φ = 4007808000.

The previous prime is 4189910399. The next prime is 4189910407. The reversal of 4189910401 is 1040199814.

It is a cyclic number.

It is not a de Polignac number, because 4189910401 - 21 = 4189910399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4189910407) 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 15 ways as a sum of consecutive naturals, for example, 1965106 + ... + 1967236.

It is an arithmetic number, because the mean of its divisors is an integer number (273429000).

Almost surely, 24189910401 is an apocalyptic number.

It is an amenable number.

4189910401 is a deficient number, since it is larger than the sum of its proper divisors (184953599).

4189910401 is a wasteful number, since it uses less digits than its factorization.

4189910401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760.

The product of its (nonzero) digits is 10368, while the sum is 37.

The square root of 4189910401 is about 64729.5172313219. The cubic root of 4189910401 is about 1612.1356380119.

The spelling of 4189910401 in words is "four billion, one hundred eighty-nine million, nine hundred ten thousand, four hundred one".

Divisors: 1 29 151 449 2131 4379 13021 61799 67799 321781 956819 1966171 9331649 27747751 144479669 4189910401