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1024072492872 = 233112131271671279
BaseRepresentation
bin11101110011011110111…
…10100010011101001000
310121220022101001202201010
432321233132202131020
5113234300024232442
62102241415323520
7133662320365002
oct16715736423510
93556271052633
101024072492872
11365341252100
1214657b9805a0
13757535c7270
14377cb553372
151b989cc6b9c
hexee6f7a2748

1024072492872 has 384 divisors, whose sum is σ = 3075106406400. Its totient is φ = 282275642880.

The previous prime is 1024072492853. The next prime is 1024072492897. The reversal of 1024072492872 is 2782942704201.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 800681529 + ... + 800682807.

It is an arithmetic number, because the mean of its divisors is an integer number (8008089600).

Almost surely, 21024072492872 is an apocalyptic number.

1024072492872 is a gapful number since it is divisible by the number (12) 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 1024072492872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537553203200).

1024072492872 is an abundant number, since it is smaller than the sum of its proper divisors (2051033913528).

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

1024072492872 is a wasteful number, since it uses less digits than its factorization.

1024072492872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 1024072492872 in words is "one trillion, twenty-four billion, seventy-two million, four hundred ninety-two thousand, eight hundred seventy-two".