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17494494100164 = 2234232101032
BaseRepresentation
bin1111111010010100000100…
…0110110011101011000100
32021221110100101002020210000
43332211001012303223010
54243112210442201124
6101112505403201300
73453635605201104
oct376450106635304
967843311066700
1017494494100164
115635411925814
121b66672816230
1399b954003703
14446a49237204
15205112bdc6c9
hexfe9411b3ac4

17494494100164 has 135 divisors (see below), whose sum is σ = 47813687242783. Its totient is φ = 5577402531888.

The previous prime is 17494494100159. The next prime is 17494494100183. The reversal of 17494494100164 is 46100149449471.

The square root of 17494494100164 is 4182642.

It is a perfect power (a square), and thus also a powerful number.

17494494100164 is a `hidden beast` number, since 1 + 7 + 4 + 94 + 494 + 1 + 0 + 0 + 1 + 64 = 666.

17494494100164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 17494494100164.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1731608737 + ... + 1731618839.

Almost surely, 217494494100164 is an apocalyptic number.

17494494100164 is the 4182642-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17494494100164

17494494100164 is an abundant number, since it is smaller than the sum of its proper divisors (30319193142619).

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

17494494100164 is an frugal number, since it uses more digits than its factorization.

17494494100164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20268 (or 10131 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 17494494100164 in words is "seventeen trillion, four hundred ninety-four billion, four hundred ninety-four million, one hundred thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 276 324 414 529 621 828 1058 1242 1587 1863 2116 2484 3174 3726 4761 6348 7452 9522 10103 14283 19044 20206 28566 30309 40412 42849 57132 60618 85698 90927 121236 171396 181854 232369 272781 363708 464738 545562 697107 818343 929476 1091124 1394214 1636686 2091321 2788428 3273372 4182642 5344487 6273963 8365284 10688974 12547926 16033461 18821889 21377948 25095852 32066922 37643778 48100383 64133844 75287556 96200766 102070609 144301149 192401532 204141218 288602298 306211827 408282436 432903447 577204596 612423654 865806894 918635481 1224847308 1731613788 1837270962 2347624007 2755906443 3674541924 4695248014 5511812886 7042872021 8267719329 9390496028 11023625772 14085744042 16535438658 21128616063 28171488084 33070877316 42257232126 53995352161 63385848189 84514464252 107990704322 126771696378 161986056483 190157544567 215981408644 253543392756 323972112966 380315089134 485958169449 647944225932 760630178268 971916338898 1457874508347 1943832677796 2915749016694 4373623525041 5831498033388 8747247050082 17494494100164