Search a number
-
+
2022826736016 = 243214047407889
BaseRepresentation
bin11101011011111001110…
…111100111100110010000
321011101021021101012001100
4131123321313213212100
5231120222121023031
64145135045104400
7266100350362602
oct35337167474620
97141237335040
102022826736016
1170a96aa59479
122880546b8100
131189a076a668
146dc96359172
1537941eb4de6
hex1d6f9de7990

2022826736016 has 30 divisors (see below), whose sum is σ = 5661105379670. Its totient is φ = 674275578624.

The previous prime is 2022826736003. The next prime is 2022826736027. The reversal of 2022826736016 is 6106376282202.

2022826736016 is a `hidden beast` number, since 2 + 0 + 2 + 28 + 267 + 360 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1584577440000 + 438249296016 = 1258800^2 + 662004^2 .

It is a super-2 number, since 2×20228267360162 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7023703801 + ... + 7023704088.

Almost surely, 22022826736016 is an apocalyptic number.

It is an amenable number.

2022826736016 is an abundant number, since it is smaller than the sum of its proper divisors (3638278643654).

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

2022826736016 is a wasteful number, since it uses less digits than its factorization.

2022826736016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14047407903 (or 14047407894 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 2022826736016 in words is "two trillion, twenty-two billion, eight hundred twenty-six million, seven hundred thirty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 14047407889 28094815778 42142223667 56189631556 84284447334 112379263112 126426671001 168568894668 224758526224 252853342002 337137789336 505706684004 674275578672 1011413368008 2022826736016