Search a number
-
+
2792030457969 = 32432129532
BaseRepresentation
bin101000101000010001111…
…110111101000001110001
3100212220201101212220112100
4220220101332331001301
5331221034244123334
65534350250251013
7405501055213464
oct50502176750161
910786641786470
102792030457969
11987103450705
12391145426a69
131733973a31ac
14991c65d92db
154c9617ddc99
hex28a11fbd071

2792030457969 has 27 divisors (see below), whose sum is σ = 4129221948267. Its totient is φ = 1817925986016.

The previous prime is 2792030457917. The next prime is 2792030457977. The reversal of 2792030457969 is 9697540302972.

The square root of 2792030457969 is 1670937.

It is a perfect power (a square), and thus also a powerful number.

2792030457969 is a `hidden beast` number, since 2 + 7 + 9 + 20 + 30 + 4 + 579 + 6 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 262938200625 + 2529092257344 = 512775^2 + 1590312^2 .

It is not a de Polignac number, because 2792030457969 - 219 = 2792029933681 is a prime.

It is a super-2 number, since 2×27920304579692 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2792030457989) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 215544397 + ... + 215557349.

Almost surely, 22792030457969 is an apocalyptic number.

2792030457969 is the 1670937-th square number.

2792030457969 is the 835469-th centered octagonal number.

It is an amenable number.

2792030457969 is a deficient number, since it is larger than the sum of its proper divisors (1337191490298).

2792030457969 is an frugal number, since it uses more digits than its factorization.

2792030457969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25998 (or 12999 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 2792030457969 in words is "two trillion, seven hundred ninety-two billion, thirty million, four hundred fifty-seven thousand, nine hundred sixty-nine".

Divisors: 1 3 9 43 129 387 1849 5547 12953 16641 38859 116577 556979 1670937 5012811 23950097 71850291 167780209 215550873 503340627 1510021881 7214548987 21643646961 64930940883 310225606441 930676819323 2792030457969