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9849472164 = 2232725583601
BaseRepresentation
bin10010010110001001…
…10000010010100100
3221102102112000202100
421023010300102210
5130132431102124
64305204212100
7466036063200
oct111304602244
927372460670
109849472164
1141a4852244
121aaa69a030
13c0c76524c
1469617bb00
153c9a771c9
hex24b1304a4

9849472164 has 54 divisors (see below), whose sum is σ = 28962143574. Its totient is φ = 2814134400.

The previous prime is 9849472153. The next prime is 9849472169. The reversal of 9849472164 is 4612749489.

9849472164 is a `hidden beast` number, since 9 + 8 + 4 + 9 + 472 + 164 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7048945764 + 2800526400 = 83958^2 + 52920^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 9849472164.

It is not an unprimeable number, because it can be changed into a prime (9849472169) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2790037 + ... + 2793564.

Almost surely, 29849472164 is an apocalyptic number.

It is an amenable number.

9849472164 is an abundant number, since it is smaller than the sum of its proper divisors (19112671410).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9849472164 is a wasteful number, since it uses less digits than its factorization.

9849472164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5583625 (or 5583613 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 9849472164 is about 99244.5069714188. The cubic root of 9849472164 is about 2143.5699115135.

The spelling of 9849472164 in words is "nine billion, eight hundred forty-nine million, four hundred seventy-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 5583601 11167202 16750803 22334404 33501606 39085207 50252409 67003212 78170414 100504818 117255621 156340828 201009636 234511242 273596449 351766863 469022484 547192898 703533726 820789347 1094385796 1407067452 1641578694 2462368041 3283157388 4924736082 9849472164