Search a number
-
+
182020000104 = 23322324778933
BaseRepresentation
bin1010100110000100111…
…1001100100101101000
3122101211021202001110100
42221201033030211220
510440234110000404
6215341400145400
716102424321145
oct2514117144550
9571737661410
10182020000104
11702155aa158
122b33a168260
131421a2a2097
148b4a1bd3cc
154b04c1bd39
hex2a613cc968

182020000104 has 72 divisors (see below), whose sum is σ = 515336347890. Its totient is φ = 58035350208.

The previous prime is 182020000103. The next prime is 182020000109. The reversal of 182020000104 is 401000020281.

It can be written as a sum of positive squares in only one way, i.e., 168098360004 + 13921640100 = 409998^2 + 117990^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (182020000103) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 2351379 + ... + 2427554.

Almost surely, 2182020000104 is an apocalyptic number.

It is an amenable number.

182020000104 is an abundant number, since it is smaller than the sum of its proper divisors (333316347786).

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

182020000104 is a wasteful number, since it uses less digits than its factorization.

182020000104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4778991 (or 4778961 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 182020000104 its reverse (401000020281), we get a palindrome (583020020385).

The spelling of 182020000104 in words is "one hundred eighty-two billion, twenty million, one hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 529 552 828 1058 1587 1656 2116 3174 4232 4761 6348 9522 12696 19044 38088 4778933 9557866 14336799 19115732 28673598 38231464 43010397 57347196 86020794 109915459 114694392 172041588 219830918 329746377 344083176 439661836 659492754 879323672 989239131 1318985508 1978478262 2528055557 2637971016 3956956524 5056111114 7584166671 7913913048 10112222228 15168333342 20224444456 22752500013 30336666684 45505000026 60673333368 91010000052 182020000104