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216655115720 = 235231259187049
BaseRepresentation
bin1100100111000110100…
…1101011010111001000
3202201020001211020010012
43021301221223113020
512022202202200340
6243310251011052
721436626045461
oct3116151532710
9681201736105
10216655115720
118397918a14a
1235ba5439a88
1317579a2aa34
14a6b4065d68
155980723565
hex3271a6b5c8

216655115720 has 64 divisors (see below), whose sum is σ = 509075280000. Its totient is φ = 82827847168.

The previous prime is 216655115689. The next prime is 216655115723. The reversal of 216655115720 is 27511556612.

216655115720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2166551157202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (216655115723) 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, 1064756 + ... + 1251804.

It is an arithmetic number, because the mean of its divisors is an integer number (7954301250).

Almost surely, 2216655115720 is an apocalyptic number.

216655115720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216655115720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254537640000).

216655115720 is an abundant number, since it is smaller than the sum of its proper divisors (292420164280).

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

216655115720 is a wasteful number, since it uses less digits than its factorization.

216655115720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188342 (or 188338 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 41.

The spelling of 216655115720 in words is "two hundred sixteen billion, six hundred fifty-five million, one hundred fifteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 1259 2518 5036 6295 10072 12590 25180 28957 50360 57914 115828 144785 187049 231656 289570 374098 579140 748196 935245 1158280 1496392 1870490 3740980 4302127 7481960 8604254 17208508 21510635 34417016 43021270 86042540 172085080 235494691 470989382 941978764 1177473455 1883957528 2354946910 4709893820 5416377893 9419787640 10832755786 21665511572 27081889465 43331023144 54163778930 108327557860 216655115720