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992034838872 = 2332711233074919
BaseRepresentation
bin11100110111110011110…
…00100101100101011000
310111211121121120022112100
432123321320211211120
5112223141404320442
62035422353243400
7131446355666640
oct16337170454530
93454547508470
10992034838872
113527a0893500
1214031a563560
137271903304c
143602c64b520
151ac1234d84c
hexe6f9e25958

992034838872 has 288 divisors, whose sum is σ = 3376811692800. Its totient is φ = 257541102720.

The previous prime is 992034838843. The next prime is 992034838877. The reversal of 992034838872 is 278838430299.

992034838872 is a `hidden beast` number, since 9 + 9 + 2 + 0 + 3 + 483 + 88 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992034838877) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 201671629 + ... + 201676547.

It is an arithmetic number, because the mean of its divisors is an integer number (11725040600).

Almost surely, 2992034838872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 992034838872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688405846400).

992034838872 is an abundant number, since it is smaller than the sum of its proper divisors (2384776853928).

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

992034838872 is a wasteful number, since it uses less digits than its factorization.

992034838872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8267 (or 8249 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 992034838872 in words is "nine hundred ninety-two billion, thirty-four million, eight hundred thirty-eight thousand, eight hundred seventy-two".