Search a number
-
+
216546158200086 = 232111384128266589
BaseRepresentation
bin110001001111001010010100…
…110101100100010100010110
31001101201121111002102002102200
4301033022110311210110112
5211340343012444400321
62044315533131145330
763416641445413611
oct6117122465442426
91041647432362380
10216546158200086
1162aa8789a59110
122035411a2a5246
1393aa2a4753690
143b68c66163178
151a07ce101bd26
hexc4f294d64516

216546158200086 has 48 divisors (see below), whose sum is σ = 551208402697680. Its totient is φ = 60572351943360.

The previous prime is 216546158200067. The next prime is 216546158200093. The reversal of 216546158200086 is 680002851645612.

216546158200086 is a `hidden beast` number, since 2 + 1 + 6 + 54 + 6 + 1 + 582 + 0 + 0 + 0 + 8 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42064130721 + ... + 42064135868.

It is an arithmetic number, because the mean of its divisors is an integer number (11483508389535).

Almost surely, 2216546158200086 is an apocalyptic number.

216546158200086 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

216546158200086 is an abundant number, since it is smaller than the sum of its proper divisors (334662244497594).

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

216546158200086 is a wasteful number, since it uses less digits than its factorization.

216546158200086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84128266621 (or 84128266618 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 216546158200086 in words is "two hundred sixteen trillion, five hundred forty-six billion, one hundred fifty-eight million, two hundred thousand, eighty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 2574 84128266589 168256533178 252384799767 504769599534 757154399301 925410932479 1093667465657 1514308798602 1850821864958 2187334931314 2776232797437 3281002396971 5552465594874 6562004793942 8328698392311 9843007190913 12030342122227 16657396784622 19686014381826 24060684244454 36091026366681 72182052733362 108273079100043 216546158200086