Search a number
-
+
212717844504 = 233211268583137
BaseRepresentation
bin1100011000011011111…
…0001011100000011000
3202100001200011010101100
43012012332023200120
511441121232011004
6241415441351400
721240226562604
oct3060676134030
9670050133340
10212717844504
118223874aaa0
1235286938560
13170a0100359
14a41d1a0504
1557eec3e739
hex3186f8b818

212717844504 has 48 divisors (see below), whose sum is σ = 628484542920. Its totient is φ = 64459952640.

The previous prime is 212717844491. The next prime is 212717844529. The reversal of 212717844504 is 405448717212.

212717844504 is a `hidden beast` number, since 2 + 1 + 2 + 71 + 78 + 4 + 4 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 212717844504.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 134290777 + ... + 134292360.

Almost surely, 2212717844504 is an apocalyptic number.

212717844504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212717844504 is an abundant number, since it is smaller than the sum of its proper divisors (415766698416).

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

212717844504 is a wasteful number, since it uses less digits than its factorization.

212717844504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268583160 (or 268583153 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 212717844504 in words is "two hundred twelve billion, seven hundred seventeen million, eight hundred forty-four thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 268583137 537166274 805749411 1074332548 1611498822 2148665096 2417248233 2954414507 3222997644 4834496466 5908829014 6445995288 8863243521 9668992932 11817658028 17726487042 19337985864 23635316056 26589730563 35452974084 53179461126 70905948168 106358922252 212717844504