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2966822016 = 27331249229
BaseRepresentation
bin1011000011010110…
…0001110010000000
321122202121011200220
42300311201302000
522034001301031
61210221143040
7133343366604
oct26065416200
97582534626
102966822016
11129276a324
126a96baa80
13383868bb2
1420204b504
151256dd596
hexb0d61c80

2966822016 has 64 divisors (see below), whose sum is σ = 8134867200. Its totient is φ = 957035520.

The previous prime is 2966822009. The next prime is 2966822029. The reversal of 2966822016 is 6102286692.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112711 + ... + 136518.

It is an arithmetic number, because the mean of its divisors is an integer number (127107300).

Almost surely, 22966822016 is an apocalyptic number.

It is an amenable number.

2966822016 is an abundant number, since it is smaller than the sum of its proper divisors (5168045184).

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

2966822016 is a wasteful number, since it uses less digits than its factorization.

2966822016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249277 (or 249265 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 2966822016 is about 54468.5415262792. The cubic root of 2966822016 is about 1436.9130786676.

The spelling of 2966822016 in words is "two billion, nine hundred sixty-six million, eight hundred twenty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3968 5952 11904 249229 498458 747687 996916 1495374 1993832 2990748 3987664 5981496 7726099 7975328 11962992 15452198 15950656 23178297 23925984 30904396 31901312 46356594 47851968 61808792 92713188 95703936 123617584 185426376 247235168 370852752 494470336 741705504 988940672 1483411008 2966822016