Search a number
-
+
2966845968 = 24342289233
BaseRepresentation
bin1011000011010110…
…0111101000010000
321122202122101120000
42300311213220100
522034003032333
61210221450000
7133343526462
oct26065475020
97582571500
102966845968
111292786319
126a9710900
13383876a78
14202056132
151256e5713
hexb0d67a10

2966845968 has 50 divisors (see below), whose sum is σ = 8586916734. Its totient is φ = 988948224.

The previous prime is 2966845939. The next prime is 2966845997. The reversal of 2966845968 is 8695486692.

It is an interprime number because it is at equal distance from previous prime (2966845939) and next prime (2966845997).

It can be written as a sum of positive squares in only one way, i.e., 2966763024 + 82944 = 54468^2 + 288^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1143321 + ... + 1145912.

Almost surely, 22966845968 is an apocalyptic number.

It is an amenable number.

2966845968 is an abundant number, since it is smaller than the sum of its proper divisors (5620070766).

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

2966845968 is a wasteful number, since it uses less digits than its factorization.

2966845968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289253 (or 2289238 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The square root of 2966845968 is about 54468.7613958680. The cubic root of 2966845968 is about 1436.9169455269.

The spelling of 2966845968 in words is "two billion, nine hundred sixty-six million, eight hundred forty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 2289233 4578466 6867699 9156932 13735398 18313864 20603097 27470796 36627728 41206194 54941592 61809291 82412388 109883184 123618582 164824776 185427873 247237164 329649552 370855746 494474328 741711492 988948656 1483422984 2966845968