Search a number
-
+
9973185061 = 721289157901
BaseRepresentation
bin10010100100111001…
…01011101000100101
3221202001022021221111
421102130223220211
5130411113410221
64325343545021
7502100450200
oct112234535045
927661267844
109973185061
11425866a604
121b23bbb171
13c2c28c148
146a8782937
153d5862be1
hex25272ba25

9973185061 has 12 divisors (see below), whose sum is σ = 11610534060. Its totient is φ = 8541758400.

The previous prime is 9973185037. The next prime is 9973185083. The reversal of 9973185061 is 1605813799.

It can be written as a sum of positive squares in 2 ways, for example, as 5604768225 + 4368416836 = 74865^2 + 66094^2 .

It is not a de Polignac number, because 9973185061 - 211 = 9973183013 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9973184996 and 9973185014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9973188061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15790 + ... + 142111.

It is an arithmetic number, because the mean of its divisors is an integer number (967544505).

Almost surely, 29973185061 is an apocalyptic number.

9973185061 is the 63161-st heptagonal number.

It is an amenable number.

9973185061 is a deficient number, since it is larger than the sum of its proper divisors (1637348999).

9973185061 is a wasteful number, since it uses less digits than its factorization.

9973185061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159204 (or 159197 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 49.

The square root of 9973185061 is about 99865.8353041720. The cubic root of 9973185061 is about 2152.5072650514.

The spelling of 9973185061 in words is "nine billion, nine hundred seventy-three million, one hundred eighty-five thousand, sixty-one".

Divisors: 1 7 49 1289 9023 63161 157901 1105307 7737149 203534389 1424740723 9973185061