Search a number
-
+
7282146748961 = 761101168853543
BaseRepresentation
bin110100111111000000111…
…0001010010101000100001
3221210011111022211212211102
41221332001301102220201
51423302314031431321
623253212205324145
71351055246030150
oct151760161225041
927704438755742
107282146748961
112358382aa3917
129973b4266655
1340a91b757b66
141b265a22b597
15c965a840c0b
hex69f81c52a21

7282146748961 has 16 divisors (see below), whose sum is σ = 8542638498048. Its totient is φ = 6078727512000.

The previous prime is 7282146748927. The next prime is 7282146748967. The reversal of 7282146748961 is 1698476412827.

It is a cyclic number.

It is not a de Polignac number, because 7282146748961 - 222 = 7282142554657 is a prime.

It is a super-2 number, since 2×72821467489612 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7282146748967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84383645 + ... + 84469898.

It is an arithmetic number, because the mean of its divisors is an integer number (533914906128).

Almost surely, 27282146748961 is an apocalyptic number.

It is an amenable number.

7282146748961 is a deficient number, since it is larger than the sum of its proper divisors (1260491749087).

7282146748961 is a wasteful number, since it uses less digits than its factorization.

7282146748961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168853712.

The product of its digits is 65028096, while the sum is 65.

The spelling of 7282146748961 in words is "seven trillion, two hundred eighty-two billion, one hundred forty-six million, seven hundred forty-eight thousand, nine hundred sixty-one".

Divisors: 1 7 61 101 427 707 6161 43127 168853543 1181974801 10300066123 17054207843 72100462861 119379454901 1040306678423 7282146748961