Search a number
-
+
216869853168 = 2433868157829
BaseRepresentation
bin1100100111111001110…
…0110101011111110000
3202201210000220000112000
43021332130311133300
512023122140300133
6243343441334000
721445144223253
oct3117634653760
9681700800460
10216869853168
1183a79418611
1236045337300
13175b2375007
14a6d47a309a
1559944de413
hex327e7357f0

216869853168 has 80 divisors (see below), whose sum is σ = 622579274400. Its totient is φ = 72280373760.

The previous prime is 216869853149. The next prime is 216869853191. The reversal of 216869853168 is 861358968612.

216869853168 is a `hidden beast` number, since 2 + 1 + 6 + 8 + 6 + 98 + 531 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3721278 + ... + 3779106.

It is an arithmetic number, because the mean of its divisors is an integer number (7782240930).

Almost surely, 2216869853168 is an apocalyptic number.

It is an amenable number.

216869853168 is an abundant number, since it is smaller than the sum of its proper divisors (405709421232).

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

216869853168 is a wasteful number, since it uses less digits than its factorization.

216869853168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66527 (or 66515 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The spelling of 216869853168 in words is "two hundred sixteen billion, eight hundred sixty-nine million, eight hundred fifty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 8681 17362 26043 34724 52086 57829 69448 78129 104172 115658 138896 156258 173487 208344 231316 234387 312516 346974 416688 462632 468774 520461 625032 693948 925264 937548 1040922 1250064 1387896 1561383 1875096 2081844 2775792 3122766 3750192 4163688 6245532 8327376 12491064 24982128 502013549 1004027098 1506040647 2008054196 3012081294 4016108392 4518121941 6024162588 8032216784 9036243882 12048325176 13554365823 18072487764 24096650352 27108731646 36144975528 54217463292 72289951056 108434926584 216869853168