Search a number
-
+
2948838893172 = 223281912191477
BaseRepresentation
bin101010111010010100011…
…111101010011001110100
3101102220110122121202200200
4222322110133222121310
5341303210224040142
610134402231240500
7423021656011164
oct52722437523164
911386418552620
102948838893172
11a37660751a07
123b7608219130
131850c7365823
14a2a202bc5a4
1551a8ce9764c
hex2ae947ea674

2948838893172 has 18 divisors (see below), whose sum is σ = 7454009424498. Its totient is φ = 982946297712.

The previous prime is 2948838893167. The next prime is 2948838893177. The reversal of 2948838893172 is 2713988388492.

2948838893172 is a `hidden beast` number, since 2 + 9 + 488 + 38 + 89 + 31 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2948838893167) and next prime (2948838893177).

It can be written as a sum of positive squares in only one way, i.e., 2722618801296 + 226220091876 = 1650036^2 + 475626^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a self number, because there is not a number n which added to its sum of digits gives 2948838893172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2948838893177) 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 5 ways as a sum of consecutive naturals, for example, 40956095703 + ... + 40956095774.

Almost surely, 22948838893172 is an apocalyptic number.

It is an amenable number.

2948838893172 is an abundant number, since it is smaller than the sum of its proper divisors (4505170531326).

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

2948838893172 is a wasteful number, since it uses less digits than its factorization.

2948838893172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81912191487 (or 81912191482 counting only the distinct ones).

The product of its digits is 334430208, while the sum is 72.

The spelling of 2948838893172 in words is "two trillion, nine hundred forty-eight billion, eight hundred thirty-eight million, eight hundred ninety-three thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 81912191477 163824382954 245736574431 327648765908 491473148862 737209723293 982946297724 1474419446586 2948838893172