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220618016768 = 2119721072
BaseRepresentation
bin1100110101110111011…
…0111100100000000000
3210002110020201110101002
43031131312330200000
512103311203014033
6245203413431132
721640056126032
oct3153566744000
9702406643332
10220618016768
1185622134386
123691063b4a8
1317a5ba601b6
14a96c4bdc52
155b135bb3e8
hex335ddbc800

220618016768 has 108 divisors (see below), whose sum is σ = 449927473905. Its totient is φ = 108151504896.

The previous prime is 220618016761. The next prime is 220618016797. The reversal of 220618016768 is 867610816022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 220043551744 + 574465024 = 469088^2 + 23968^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=332128.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (220618016761) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2061850571 + ... + 2061850677.

Almost surely, 2220618016768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220618016768

220618016768 is an abundant number, since it is smaller than the sum of its proper divisors (229309457137).

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

220618016768 is an frugal number, since it uses more digits than its factorization.

220618016768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 47.

The spelling of 220618016768 in words is "two hundred twenty billion, six hundred eighteen million, sixteen thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 97 107 128 194 214 256 388 428 512 776 856 1024 1552 1712 2048 3104 3424 6208 6848 9409 10379 11449 12416 13696 18818 20758 22898 24832 27392 37636 41516 45796 49664 54784 75272 83032 91592 99328 109568 150544 166064 183184 198656 219136 301088 332128 366368 602176 664256 732736 1006763 1110553 1204352 1328512 1465472 2013526 2221106 2408704 2657024 2930944 4027052 4442212 4817408 5314048 5861888 8054104 8884424 9634816 10628096 11723776 16108208 17768848 19269632 21256192 23447552 32216416 35537696 64432832 71075392 107723641 128865664 142150784 215447282 257731328 284301568 430894564 515462656 568603136 861789128 1030925312 1137206272 1723578256 2061850624 2274412544 3447156512 6894313024 13788626048 27577252096 55154504192 110309008384 220618016768