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2168365980132 = 2234111030159063
BaseRepresentation
bin11111100011011100101…
…011110001100111100100
321200021221011010211020000
4133203130223301213210
5241011303142331012
64340044504141300
7312442062502632
oct37433453614744
97607834124200
102168365980132
11766665080710
122b02b1467830
13129625b03aa1
1476d414d8352
153b60e158ddc
hex1f8dcaf19e4

2168365980132 has 120 divisors (see below), whose sum is σ = 6184563561792. Its totient is φ = 657005688000.

The previous prime is 2168365980127. The next prime is 2168365980133. The reversal of 2168365980132 is 2310895638612.

2168365980132 is a `hidden beast` number, since 2 + 1 + 6 + 8 + 36 + 598 + 0 + 13 + 2 = 666.

It is a super-2 number, since 2×21683659801322 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2168365980133) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36683233 + ... + 36742295.

Almost surely, 22168365980132 is an apocalyptic number.

2168365980132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2168365980132 is an abundant number, since it is smaller than the sum of its proper divisors (4016197581660).

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

2168365980132 is a wasteful number, since it uses less digits than its factorization.

2168365980132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69391 (or 69380 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 2168365980132 in words is "two trillion, one hundred sixty-eight billion, three hundred sixty-five million, nine hundred eighty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 3564 10301 20602 30903 41204 59063 61806 92709 113311 118126 123612 177189 185418 226622 236252 278127 339933 354378 370836 453244 531567 556254 649693 679866 708756 834381 1019799 1063134 1112508 1299386 1359732 1594701 1668762 1949079 2039598 2126268 2598772 3059397 3189402 3337524 3898158 4079196 4784103 5847237 6118794 6378804 7796316 9178191 9568206 11694474 12237588 17541711 18356382 19136412 23388948 35083422 36712764 52625133 70166844 105250266 210500532 608407963 1216815926 1825223889 2433631852 3650447778 5475671667 6692487593 7300895556 10951343334 13384975186 16427015001 20077462779 21902686668 26769950372 32854030002 40154925558 49281045003 60232388337 65708060004 80309851116 98562090006 120464776674 180697165011 197124180012 240929553348 361394330022 542091495033 722788660044 1084182990066 2168365980132