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2831142496 = 2571323411031
BaseRepresentation
bin1010100010111111…
…1100111001100000
321022022021221101111
42220233330321200
521244233024441
61144533113104
7130105212520
oct25057747140
97268257344
102831142496
111223119296
12670188794
13361712260
141cc00d680
1511883c081
hexa8bfce60

2831142496 has 192 divisors, whose sum is σ = 7340046336. Its totient is φ = 1044172800.

The previous prime is 2831142493. The next prime is 2831142497. The reversal of 2831142496 is 6942411382.

2831142496 = 4492 + 4502 + ... + 20472.

It is a super-2 number, since 2×28311424962 = 16030735665314220032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2831142491) 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 31 ways as a sum of consecutive naturals, for example, 2745501 + ... + 2746531.

It is an arithmetic number, because the mean of its divisors is an integer number (38229408).

Almost surely, 22831142496 is an apocalyptic number.

2831142496 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2831142496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3670023168).

2831142496 is an abundant number, since it is smaller than the sum of its proper divisors (4508903840).

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

2831142496 is a wasteful number, since it uses less digits than its factorization.

2831142496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1117 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The square root of 2831142496 is about 53208.4814291857. The cubic root of 2831142496 is about 1414.6659795018.

It can be divided in two parts, 28311 and 42496, that added together give a palindrome (70807).

The spelling of 2831142496 in words is "two billion, eight hundred thirty-one million, one hundred forty-two thousand, four hundred ninety-six".