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216434243740 = 225111375676309
BaseRepresentation
bin1100100110010001111…
…1000111100010011100
3202200122200012202201111
43021210133013202130
512021224131244430
6243232320551404
721431304501031
oct3114437074234
9680580182644
10216434243740
1183875540820
1235b43482564
1317543046460
14a6929ad388
15596b144c2a
hex32647c789c

216434243740 has 48 divisors (see below), whose sum is σ = 533972043360. Its totient is φ = 72649255680.

The previous prime is 216434243737. The next prime is 216434243741. The reversal of 216434243740 is 47342434612.

It is a happy number.

216434243740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 216434243693 and 216434243702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216434243741) 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 15 ways as a sum of consecutive naturals, for example, 37835295 + ... + 37841014.

It is an arithmetic number, because the mean of its divisors is an integer number (11124417570).

Almost surely, 2216434243740 is an apocalyptic number.

216434243740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216434243740 is an abundant number, since it is smaller than the sum of its proper divisors (317537799620).

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

216434243740 is a wasteful number, since it uses less digits than its factorization.

216434243740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75676342 (or 75676340 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 40.

It can be divided in two parts, 2164 and 34243740, that added together give a square (34245904 = 58522).

The spelling of 216434243740 in words is "two hundred sixteen billion, four hundred thirty-four million, two hundred forty-three thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 75676309 151352618 302705236 378381545 756763090 832439399 983792017 1513526180 1664878798 1967584034 3329757596 3935168068 4162196995 4918960085 8324393990 9837920170 10821712187 16648787980 19675840340 21643424374 43286848748 54108560935 108217121870 216434243740