Search a number
-
+
7906143973 = 721332712
BaseRepresentation
bin1110101110011111…
…00010111011100101
3202101222210201122011
413113033202323211
5112142433101343
63344304034221
7366631054300
oct72717427345
922358721564
107906143973
1133978a2a92
121647902971
1398cc71000
14550035b37
1531415b29d
hex1d73e2ee5

7906143973 has 36 divisors (see below), whose sum is σ = 9999905580. Its totient is φ = 6232327920.

The previous prime is 7906143961. The next prime is 7906143977. The reversal of 7906143973 is 3793416097.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 291487329 + 7614656644 = 17073^2 + 87262^2 .

It is not a de Polignac number, because 7906143973 - 213 = 7906135781 is a prime.

It is a super-2 number, since 2×79061439732 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is the 88917-th Hogben number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7906143977) by changing a digit.

It is a nontrivial repunit in base 88916.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29173828 + ... + 29174098.

It is an arithmetic number, because the mean of its divisors is an integer number (277775155).

Almost surely, 27906143973 is an apocalyptic number.

It is an amenable number.

7906143973 is a deficient number, since it is larger than the sum of its proper divisors (2093761607).

7906143973 is an frugal number, since it uses more digits than its factorization.

7906143973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 49.

The square root of 7906143973 is about 88916.5000042174. The cubic root of 7906143973 is about 1992.1478768417.

The spelling of 7906143973 in words is "seven billion, nine hundred six million, one hundred forty-three thousand, nine hundred seventy-three".

Divisors: 1 7 13 49 91 169 271 637 1183 1897 2197 3523 8281 13279 15379 24661 45799 73441 107653 172627 320593 514087 595387 954733 2244151 3598609 4167709 6683131 12411529 29173963 46781917 86880703 161349877 608164921 1129449139 7906143973