Search a number
-
+
9973374201 = 327222615361
BaseRepresentation
bin10010100100111010…
…11001110011111001
3221202001122220101200
421102131121303321
5130411140433301
64325352004413
7502102165500
oct112235316371
927661586350
109973374201
11425878971a
121b24090709
13c2c32726b
146a87d1837
153d589dc86
hex252759cf9

9973374201 has 18 divisors (see below), whose sum is σ = 16757983242. Its totient is φ = 5699070720.

The previous prime is 9973374181. The next prime is 9973374209. The reversal of 9973374201 is 1024733799.

9973374201 is a `hidden beast` number, since 9 + 9 + 73 + 374 + 201 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6264564201 + 3708810000 = 79149^2 + 60900^2 .

It is not a de Polignac number, because 9973374201 - 211 = 9973372153 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (9973374209) 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 17 ways as a sum of consecutive naturals, for example, 11307240 + ... + 11308121.

It is an arithmetic number, because the mean of its divisors is an integer number (930999069).

Almost surely, 29973374201 is an apocalyptic number.

It is an amenable number.

9973374201 is a deficient number, since it is larger than the sum of its proper divisors (6784609041).

9973374201 is a wasteful number, since it uses less digits than its factorization.

9973374201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22615381 (or 22615371 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 9973374201 is about 99866.7822701823. The cubic root of 9973374201 is about 2152.5208722941.

The spelling of 9973374201 in words is "nine billion, nine hundred seventy-three million, three hundred seventy-four thousand, two hundred one".

Divisors: 1 3 7 9 21 49 63 147 441 22615361 67846083 158307527 203538249 474922581 1108152689 1424767743 3324458067 9973374201