Search a number
-
+
182054227698 = 2347247892
BaseRepresentation
bin1010100110001101000…
…1110000111011110010
3122101220200010222220000
42221203101300323302
510440321340241243
6215345021530430
716103321255100
oct2514321607362
9571820128800
10182054227698
1170232957922
122b349713a16
13142243c73b5
148b5096cc70
154b07c2d5d3
hex2a63470ef2

182054227698 has 90 divisors (see below), whose sum is σ = 474637283901. Its totient is φ = 52004632176.

The previous prime is 182054227679. The next prime is 182054227703. The reversal of 182054227698 is 896722450281.

182054227698 is a `hidden beast` number, since 1 + 8 + 2 + 0 + 542 + 2 + 7 + 6 + 98 = 666.

182054227698 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 137272473009 + 44781754689 = 370503^2 + 211617^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=301707.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 38012688 + ... + 38017476.

Almost surely, 2182054227698 is an apocalyptic number.

182054227698 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 182054227698

182054227698 is an abundant number, since it is smaller than the sum of its proper divisors (292583056203).

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

182054227698 is an frugal number, since it uses more digits than its factorization.

182054227698 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9606 (or 4801 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 182054227698 in words is "one hundred eighty-two billion, fifty-four million, two hundred twenty-seven thousand, six hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 2646 3969 4789 7938 9578 14367 28734 33523 43101 67046 86202 100569 129303 201138 234661 258606 301707 387909 469322 603414 703983 775818 905121 1407966 1810242 2111949 2715363 4223898 5430726 6335847 12671694 19007541 22934521 38015082 45869042 68803563 137607126 160541647 206410689 321083294 412821378 481624941 619232067 963249882 1123791529 1238464134 1444874823 1857696201 2247583058 2889749646 3371374587 3715392402 4334624469 6742749174 8669248938 10114123761 13003873407 20228247522 26007746814 30342371283 60684742566 91027113849 182054227698