Search a number
-
+
2948383838493 = 3237101238336787
BaseRepresentation
bin101010111001111001010…
…111110001000100011101
3101102212021221100121000200
4222321321113301010131
5341301242230312433
610134245134014113
7423004462060152
oct52717127610435
911385257317020
102948383838493
11a374478a3665
123b74bb947339
13185053cb91c2
14a29b9aa6229
1551a6305b613
hex2ae795f111d

2948383838493 has 48 divisors (see below), whose sum is σ = 4419158205696. Its totient is φ = 1892683843200.

The previous prime is 2948383838461. The next prime is 2948383838501. The reversal of 2948383838493 is 3948383838492.

It is a happy number.

2948383838493 is a `hidden beast` number, since 2 + 9 + 4 + 8 + 383 + 83 + 84 + 93 = 666.

It is not a de Polignac number, because 2948383838493 - 25 = 2948383838461 is a prime.

It is a super-2 number, since 2×29483838384932 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2948383838423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80129046 + ... + 80165832.

It is an arithmetic number, because the mean of its divisors is an integer number (92065795952).

Almost surely, 22948383838493 is an apocalyptic number.

It is an amenable number.

2948383838493 is a deficient number, since it is larger than the sum of its proper divisors (1470774367203).

2948383838493 is a wasteful number, since it uses less digits than its factorization.

2948383838493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39314 (or 39311 counting only the distinct ones).

The product of its digits is 859963392, while the sum is 72.

Subtracting 2948383838493 from its reverse (3948383838492), we obtain a palindrome (999999999999).

The spelling of 2948383838493 in words is "two trillion, nine hundred forty-eight billion, three hundred eighty-three million, eight hundred thirty-eight thousand, four hundred ninety-three".

Divisors: 1 3 9 37 101 111 303 333 909 2383 3737 7149 11211 21447 33633 36787 88171 110361 240683 264513 331083 722049 793539 1361119 2166147 3715487 4083357 8905271 11146461 12250071 26715813 33439383 80147439 87663421 137473019 262990263 412419057 788970789 1237257171 3243546577 8854005521 9730639731 26562016563 29191919193 79686049689 327598204277 982794612831 2948383838493