Search a number
-
+
8093148401 = 1317191927399
BaseRepresentation
bin1111000100110001…
…11010010011110001
3202220000200112111002
413202120322103301
5113033321222101
63415024131345
7404361424562
oct74230722361
922800615432
108093148401
11348340a1a8
12169a466b55
139bc928110
1456abd4169
15325799d6b
hex1e263a4f1

8093148401 has 16 divisors (see below), whose sum is σ = 9714096000. Its totient is φ = 6661087488.

The previous prime is 8093148377. The next prime is 8093148403. The reversal of 8093148401 is 1048413908.

It is not a de Polignac number, because 8093148401 - 214 = 8093132017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8093148403) by changing a digit.

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, 959501 + ... + 967898.

It is an arithmetic number, because the mean of its divisors is an integer number (607131000).

Almost surely, 28093148401 is an apocalyptic number.

It is an amenable number.

8093148401 is a deficient number, since it is larger than the sum of its proper divisors (1620947599).

8093148401 is a wasteful number, since it uses less digits than its factorization.

8093148401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927448.

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 8093148401 is about 89961.9275082521. The cubic root of 8093148401 is about 2007.7324329631.

The spelling of 8093148401 in words is "eight billion, ninety-three million, one hundred forty-eight thousand, four hundred one".

Divisors: 1 13 17 19 221 247 323 4199 1927399 25056187 32765783 36620581 425955179 476067553 622549877 8093148401