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216421065360 = 24325300584813
BaseRepresentation
bin1100100110001110110…
…0110110001010010000
3202200121202102020101100
43021203230312022100
512021212243042420
6243231130304400
721431054463063
oct3114354661220
9680552366340
10216421065360
118386905a6a5
1235b3ab88100
13175403b0cb6
14a690d3c8da
155969de0190
hex3263b36290

216421065360 has 60 divisors (see below), whose sum is σ = 726814080252. Its totient is φ = 57712283904.

The previous prime is 216421065281. The next prime is 216421065407. The reversal of 216421065360 is 63560124612.

216421065360 is a `hidden beast` number, since 2 + 1 + 642 + 1 + 0 + 6 + 5 + 3 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56779264656 + 159641800704 = 238284^2 + 399552^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 150291687 + ... + 150293126.

Almost surely, 2216421065360 is an apocalyptic number.

216421065360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216421065360 is an abundant number, since it is smaller than the sum of its proper divisors (510393014892).

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

216421065360 is a wasteful number, since it uses less digits than its factorization.

216421065360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300584832 (or 300584823 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 216421065360 its reverse (63560124612), we get a palindrome (279981189972).

The spelling of 216421065360 in words is "two hundred sixteen billion, four hundred twenty-one million, sixty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 300584813 601169626 901754439 1202339252 1502924065 1803508878 2404678504 2705263317 3005848130 3607017756 4508772195 4809357008 5410526634 6011696260 7214035512 9017544390 10821053268 12023392520 13526316585 14428071024 18035088780 21642106536 24046785040 27052633170 36070177560 43284213072 54105266340 72140355120 108210532680 216421065360