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3369966132393 = 34719369184751
BaseRepresentation
bin110001000010100001101…
…000100101110010101001
3102221011110201211002110000
4301002201220211302221
5420203142312214033
611100050245413213
7465320621331630
oct61024150456251
912834421732400
103369966132393
11108a216032893
12465156a0a209
131b5a2ba78943
14b9170356517
155c9d9573a13
hex310a1a25ca9

3369966132393 has 80 divisors (see below), whose sum is σ = 6057828874240. Its totient is φ = 1823826780000.

The previous prime is 3369966132389. The next prime is 3369966132451. The reversal of 3369966132393 is 3932316699633.

3369966132393 is a `hidden beast` number, since 3 + 3 + 6 + 9 + 9 + 6 + 613 + 2 + 3 + 9 + 3 = 666.

It is not a de Polignac number, because 3369966132393 - 22 = 3369966132389 is a prime.

It is a super-2 number, since 2×33699661323932 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 3369966132393.

It is not an unprimeable number, because it can be changed into a prime (3369966132193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39720768 + ... + 39805518.

It is an arithmetic number, because the mean of its divisors is an integer number (75722860928).

Almost surely, 23369966132393 is an apocalyptic number.

It is an amenable number.

3369966132393 is a deficient number, since it is larger than the sum of its proper divisors (2687862741847).

3369966132393 is a wasteful number, since it uses less digits than its factorization.

3369966132393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88480 (or 88471 counting only the distinct ones).

The product of its digits is 76527504, while the sum is 63.

The spelling of 3369966132393 in words is "three trillion, three hundred sixty-nine billion, nine hundred sixty-six million, one hundred thirty-two thousand, three hundred ninety-three".

Divisors: 1 3 7 9 19 21 27 57 63 81 133 171 189 399 513 567 1197 1539 3591 3691 10773 11073 25837 33219 70129 77511 84751 99657 210387 232533 254253 298971 490903 593257 631161 697599 762759 1472709 1610269 1779771 1893483 2092797 2288277 4418127 4830807 5339313 5680449 6864831 11271883 13254381 14492421 16017939 33815649 39763143 43477263 48053817 101446947 130431789 304340841 312815941 913022523 938447823 2189711587 2815343469 5943502879 6569134761 8446030407 17830508637 19707404283 25338091221 41604520153 53491525911 59122212849 124813560459 160474577733 177366638547 374440681377 481423733199 1123322044131 3369966132393