Search a number
-
+
41673670332 = 22372431648223
BaseRepresentation
bin100110110011111100…
…011011111010111100
310222120022100210120120
4212303330123322330
51140321424422312
631051123214540
73003466232100
oct466374337274
9128508323516
1041673670332
1116745778368
1280b0517450
133c11a40638
14203499b900
15113d8d928c
hex9b3f1bebc

41673670332 has 72 divisors (see below), whose sum is σ = 115744882176. Its totient is φ = 11629854432.

The previous prime is 41673670327. The next prime is 41673670333. The reversal of 41673670332 is 23307637614.

It is a super-3 number, since 3×416736703323 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41673670333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 798828 + ... + 849395.

It is an arithmetic number, because the mean of its divisors is an integer number (1607567808).

Almost surely, 241673670332 is an apocalyptic number.

41673670332 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

41673670332 is an abundant number, since it is smaller than the sum of its proper divisors (74071211844).

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

41673670332 is a wasteful number, since it uses less digits than its factorization.

41673670332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648287 (or 1648278 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 42.

The spelling of 41673670332 in words is "forty-one billion, six hundred seventy-three million, six hundred seventy thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 49 84 86 98 129 147 172 196 258 294 301 516 588 602 903 1204 1806 2107 3612 4214 6321 8428 12642 25284 1648223 3296446 4944669 6592892 9889338 11537561 19778676 23075122 34612683 46150244 69225366 70873589 80762927 138450732 141747178 161525854 212620767 242288781 283494356 323051708 425241534 484577562 496115123 850483068 969155124 992230246 1488345369 1984460492 2976690738 3472805861 5953381476 6945611722 10418417583 13891223444 20836835166 41673670332