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10064060216 = 2372435031187
BaseRepresentation
bin10010101111101110…
…10101111100111000
3221222101022020012222
421113313111330320
5131102344411331
64342351423212
7504253046300
oct112767257470
927871266188
1010064060216
1142a4999441
121b4a524b08
13c45059522
146b687a600
153dd813b7b
hex257dd5f38

10064060216 has 96 divisors (see below), whose sum is σ = 22525050240. Its totient is φ = 4200944832.

The previous prime is 10064060179. The next prime is 10064060243. The reversal of 10064060216 is 61206046001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8477975 + ... + 8479161.

It is an arithmetic number, because the mean of its divisors is an integer number (234635940).

Almost surely, 210064060216 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 10064060216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11262525120).

10064060216 is an abundant number, since it is smaller than the sum of its proper divisors (12460990024).

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

10064060216 is a wasteful number, since it uses less digits than its factorization.

10064060216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 10064060216 in words is "ten billion, sixty-four million, sixty thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 28 43 49 56 86 98 172 196 301 344 392 503 602 1006 1187 1204 2012 2107 2374 2408 3521 4024 4214 4748 7042 8309 8428 9496 14084 16618 16856 21629 24647 28168 33236 43258 49294 51041 58163 66472 86516 98588 102082 116326 151403 173032 197176 204164 232652 302806 357287 408328 465304 597061 605612 714574 1059821 1194122 1211224 1429148 2119642 2388244 2501009 2858296 4179427 4239284 4776488 5002018 8358854 8478568 10004036 16717708 20008072 25673623 29255989 33435416 51347246 58511978 102694492 117023956 179715361 205388984 234047912 359430722 718861444 1258007527 1437722888 2516015054 5032030108 10064060216