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196268045337 = 327213196726893
BaseRepresentation
bin1011011011001001111…
…1001011010000011001
3200202121020221202010100
42312302133023100121
511203424104422322
6230055253210013
720115463600500
oct2666237132031
9622536852110
10196268045337
1176267216451
1232055930909
131567b0ba990
1496dc5c3837
15518a9e9dac
hex2db27cb419

196268045337 has 144 divisors (see below), whose sum is σ = 379437764160. Its totient is φ = 96609832704.

The previous prime is 196268045293. The next prime is 196268045387. The reversal of 196268045337 is 733540862691.

196268045337 is a `hidden beast` number, since 1 + 9 + 6 + 26 + 80 + 4 + 533 + 7 = 666.

It is not a de Polignac number, because 196268045337 - 212 = 196268041241 is a prime.

It is a super-2 number, since 2×1962680453372 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (196268045387) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7284663 + ... + 7311555.

It is a 1-persistent number, because it is pandigital, but 2⋅196268045337 = 392536090674 is not.

Almost surely, 2196268045337 is an apocalyptic number.

It is an amenable number.

196268045337 is a deficient number, since it is larger than the sum of its proper divisors (183169718823).

196268045337 is a wasteful number, since it uses less digits than its factorization.

196268045337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27012 (or 27002 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 196268045337 in words is "one hundred ninety-six billion, two hundred sixty-eight million, forty-five thousand, three hundred thirty-seven".

Divisors: 1 3 7 9 13 19 21 39 49 57 63 67 91 117 133 147 171 201 247 273 399 441 469 603 637 741 819 871 931 1197 1273 1407 1729 1911 2223 2613 2793 3283 3819 4221 5187 5733 6097 7839 8379 8911 9849 11457 12103 15561 16549 18291 26733 26893 29547 36309 42679 49647 54873 62377 80199 80679 108927 115843 128037 148941 187131 188251 242037 347529 349609 384111 510967 561393 564753 810901 1042587 1048827 1317757 1532901 1694259 1801831 2432703 2447263 3146481 3576769 3953271 4598703 5405493 6642571 7298109 7341789 10730307 11859813 12612817 16216479 17130841 19927713 22025367 23423803 25037383 32190921 34234789 37838451 46497997 51392523 59783139 70271409 75112149 88289719 102704367 113515353 139493991 154177569 163966621 210814227 225336447 239643523 264869157 308113101 325485979 418481973 445052257 491899863 718930569 794607471 976457937 1147766347 1335156771 1475699589 1677504661 2156791707 2929373811 3115365799 3443299041 4005470313 5032513983 9346097397 10329897123 15097541949 21807560593 28038292191 65422681779 196268045337