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2991318016 = 2104171249
BaseRepresentation
bin1011001001001011…
…1110010000000000
321201110200200220011
42302102332100000
522111234134031
61212454154304
7134061532531
oct26222762000
97643620804
102991318016
1112a5580555
126b5952994
1338896487b
142053c6688
1512792b6b1
hexb24be400

2991318016 has 44 divisors (see below), whose sum is σ = 6125647500. Its totient is φ = 1459159040.

The previous prime is 2991317993. The next prime is 2991318023. The reversal of 2991318016 is 6108131992.

It can be written as a sum of positive squares in 2 ways, for example, as 1467196416 + 1524121600 = 38304^2 + 39040^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2991318016.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6360 + ... + 77608.

Almost surely, 22991318016 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 2991318016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3062823750).

2991318016 is an abundant number, since it is smaller than the sum of its proper divisors (3134329484).

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

2991318016 is an equidigital number, since it uses as much as digits as its factorization.

2991318016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71310 (or 71292 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The square root of 2991318016 is about 54692.9430182725. The cubic root of 2991318016 is about 1440.8569384977.

The spelling of 2991318016 in words is "two billion, nine hundred ninety-one million, three hundred eighteen thousand, sixteen".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1024 1312 2624 5248 10496 20992 41984 71249 142498 284996 569992 1139984 2279968 2921209 4559936 5842418 9119872 11684836 18239744 23369672 36479488 46739344 72958976 93478688 186957376 373914752 747829504 1495659008 2991318016