Search a number
-
+
47470680810405 = 3252921677511047
BaseRepresentation
bin10101100101100101000010…
…00100010010001110100101
320020002011010100212112212100
422302302201010102032211
522210224423241413110
6244543421341042313
712666433503143466
oct1262624104221645
9206064110775770
1047470680810405
1114142225839806
1253a8176b56399
132064609a29858
14ba1843aaad6d
15574c4c0a6bc0
hex2b2ca11123a5

47470680810405 has 72 divisors (see below), whose sum is σ = 85727977276032. Its totient is φ = 24298293898368.

The previous prime is 47470680810403. The next prime is 47470680810419. The reversal of 47470680810405 is 50401808607474.

47470680810405 is a `hidden beast` number, since 4 + 7 + 470 + 68 + 0 + 8 + 104 + 0 + 5 = 666.

It is not a de Polignac number, because 47470680810405 - 21 = 47470680810403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47470680810401) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 2564592 + ... + 10075638.

It is an arithmetic number, because the mean of its divisors is an integer number (1190666351056).

Almost surely, 247470680810405 is an apocalyptic number.

47470680810405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

47470680810405 is a deficient number, since it is larger than the sum of its proper divisors (38257296465627).

47470680810405 is a wasteful number, since it uses less digits than its factorization.

47470680810405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7511283 (or 7511251 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 47470680810405 in words is "forty-seven trillion, four hundred seventy billion, six hundred eighty million, eight hundred ten thousand, four hundred five".

Divisors: 1 3 5 9 15 29 45 87 145 167 261 435 501 835 841 1305 1503 2505 2523 4205 4843 7515 7569 12615 14529 24215 37845 43587 72645 140447 217935 421341 702235 1264023 2106705 6320115 7511047 22533141 37555235 67599423 112665705 217820363 337997115 653461089 1089101815 1254344849 1960383267 3267305445 3763034547 6271724245 6316790527 9801916335 11289103641 18815172735 18950371581 31583952635 36376000621 56445518205 56851114743 94751857905 109128001863 181880003105 284255573715 327384005589 545640009315 1054904018009 1636920027945 3164712054027 5274520090045 9494136162081 15823560270135 47470680810405