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10237880673 = 321738218009
BaseRepresentation
bin10011000100011100…
…11010100101100001
3222102111101020001200
421202032122211201
5131431344140143
64411521151413
7511463356416
oct114216324541
928374336050
1010237880673
114384020309
121b9878b569
13c72078777
146d19a610d
153edbeb1d3
hex26239a961

10237880673 has 24 divisors (see below), whose sum is σ = 14893505640. Its totient is φ = 6776689920.

The previous prime is 10237880657. The next prime is 10237880677. The reversal of 10237880673 is 37608873201.

It can be written as a sum of positive squares in 4 ways, for example, as 3163725009 + 7074155664 = 56247^2 + 84108^2 .

It is not a de Polignac number, because 10237880673 - 24 = 10237880657 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10237880677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1274293 + ... + 1282301.

It is an arithmetic number, because the mean of its divisors is an integer number (620562735).

Almost surely, 210237880673 is an apocalyptic number.

It is an amenable number.

10237880673 is a deficient number, since it is larger than the sum of its proper divisors (4655624967).

10237880673 is a wasteful number, since it uses less digits than its factorization.

10237880673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9009 (or 9006 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 10237880673 in words is "ten billion, two hundred thirty-seven million, eight hundred eighty thousand, six hundred seventy-three".

Divisors: 1 3 9 173 519 821 1557 2463 7389 8009 24027 72081 142033 426099 1278297 1385557 4156671 6575389 12470013 19726167 59178501 1137542297 3412626891 10237880673