Search a number
-
+
2992992768 = 293472169
BaseRepresentation
bin1011001001100101…
…0111001000000000
321201120211210020000
42302121113020000
522112201232033
61212554120000
7134112006303
oct26231271000
97646753200
102992992768
1112a6514847
126b6420000
133890ccc4c
14205700b3a
15127b5ca13
hexb2657200

2992992768 has 100 divisors (see below), whose sum is σ = 8933419110. Its totient is φ = 997650432.

The previous prime is 2992992757. The next prime is 2992992791. The reversal of 2992992768 is 8672992992.

It can be written as a sum of positive squares in only one way, i.e., 2947186944 + 45805824 = 54288^2 + 6768^2 .

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, 5388 + ... + 77556.

Almost surely, 22992992768 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 2992992768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4466709555).

2992992768 is an abundant number, since it is smaller than the sum of its proper divisors (5940426342).

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

2992992768 is an frugal number, since it uses more digits than its factorization.

2992992768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72199 (or 72174 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 63.

The square root of 2992992768 is about 54708.2513703372. The cubic root of 2992992768 is about 1441.1257863020.

The spelling of 2992992768 in words is "two billion, nine hundred ninety-two million, nine hundred ninety-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4608 5184 6912 10368 13824 20736 41472 72169 144338 216507 288676 433014 577352 649521 866028 1154704 1299042 1732056 1948563 2309408 2598084 3464112 3897126 4618816 5196168 5845689 6928224 7794252 9237632 10392336 11691378 13856448 15588504 18475264 20784672 23382756 27712896 31177008 36950528 41569344 46765512 55425792 62354016 83138688 93531024 110851584 124708032 166277376 187062048 249416064 332554752 374124096 498832128 748248192 997664256 1496496384 2992992768