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216441115460 = 22529373174337
BaseRepresentation
bin1100100110010011100…
…1010101001101000100
3202200200011010212221122
43021210321111031010
512021232411143320
6243233124133112
721431420061143
oct3114471251504
9680604125848
10216441115460
1183879404629
1235b45837198
13175445b116b
14a69387b75a
15596ba50d25
hex3264e55344

216441115460 has 24 divisors (see below), whose sum is σ = 470199665880. Its totient is φ = 83591051264.

The previous prime is 216441115351. The next prime is 216441115487. The reversal of 216441115460 is 64511144612.

It can be written as a sum of positive squares in 4 ways, for example, as 34485975616 + 181955139844 = 185704^2 + 426562^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 216441115460.

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 7 ways as a sum of consecutive naturals, for example, 186586589 + ... + 186587748.

It is an arithmetic number, because the mean of its divisors is an integer number (19591652745).

Almost surely, 2216441115460 is an apocalyptic number.

216441115460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216441115460 is an abundant number, since it is smaller than the sum of its proper divisors (253758550420).

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

216441115460 is a wasteful number, since it uses less digits than its factorization.

216441115460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373174375 (or 373174373 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The spelling of 216441115460 in words is "two hundred sixteen billion, four hundred forty-one million, one hundred fifteen thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 373174337 746348674 1492697348 1865871685 3731743370 7463486740 10822055773 21644111546 43288223092 54110278865 108220557730 216441115460