Search a number
-
+
165231004644 = 223219931174161
BaseRepresentation
bin1001100111100010001…
…0010000101111100100
3120210111020021201100200
42121320202100233210
510201343114122034
6203523413510500
714636402236416
oct2317042205744
9523436251320
10165231004644
116408a65a3a2
1228033642430
1312772c19b44
147dd65489b6
154470d24a99
hex2678890be4

165231004644 has 72 divisors (see below), whose sum is σ = 421121500800. Its totient is φ = 54623289600.

The previous prime is 165231004619. The next prime is 165231004663. The reversal of 165231004644 is 446400132561.

165231004644 is a `hidden beast` number, since 1 + 6 + 5 + 2 + 3 + 1 + 0 + 0 + 4 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 165231004599 and 165231004608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2190924 + ... + 2265084.

Almost surely, 2165231004644 is an apocalyptic number.

It is an amenable number.

165231004644 is an abundant number, since it is smaller than the sum of its proper divisors (255890496156).

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

165231004644 is a wasteful number, since it uses less digits than its factorization.

165231004644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74681 (or 74676 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 165231004644 in words is "one hundred sixty-five billion, two hundred thirty-one million, four thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 199 311 398 597 622 796 933 1194 1244 1791 1866 2388 2799 3582 3732 5598 7164 11196 61889 74161 123778 148322 185667 222483 247556 296644 371334 444966 557001 667449 742668 889932 1114002 1334898 2228004 2669796 14758039 23064071 29516078 44274117 46128142 59032156 69192213 88548234 92256284 132822351 138384426 177096468 207576639 265644702 276768852 415153278 531289404 830306556 4589750129 9179500258 13769250387 18359000516 27538500774 41307751161 55077001548 82615502322 165231004644