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23887035160164 = 22341135918669389
BaseRepresentation
bin1010110111001101000100…
…01111101101011001100100
310010120120121112212202120000
411123212202033231121210
511112331122000111124
6122445315155341300
75013531666521451
oct533464217553144
9103516545782500
1023887035160164
11767a486683540
1228195738b1830
1310436cb58b977
145c81d2724828
152b65537ec6c9
hex15b9a23ed664

23887035160164 has 120 divisors (see below), whose sum is σ = 68312044785600. Its totient is φ = 7218332176320.

The previous prime is 23887035160133. The next prime is 23887035160181. The reversal of 23887035160164 is 46106153078832.

23887035160164 is a `hidden beast` number, since 2 + 3 + 8 + 8 + 70 + 351 + 60 + 164 = 666.

It is a super-3 number, since 3×238870351601643 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23887035160164.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8055219 + ... + 10614170.

It is an arithmetic number, because the mean of its divisors is an integer number (569267039880).

Almost surely, 223887035160164 is an apocalyptic number.

It is an amenable number.

23887035160164 is an abundant number, since it is smaller than the sum of its proper divisors (44425009625436).

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

23887035160164 is a wasteful number, since it uses less digits than its factorization.

23887035160164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18669775 (or 18669764 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 23887035160164 in words is "twenty-three trillion, eight hundred eighty-seven billion, thirty-five million, one hundred sixty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 359 396 594 718 891 1077 1188 1436 1782 2154 3231 3564 3949 4308 6462 7898 9693 11847 12924 15796 19386 23694 29079 35541 38772 47388 58158 71082 106623 116316 142164 213246 319869 426492 639738 1279476 18669389 37338778 56008167 74677556 112016334 168024501 205363279 224032668 336049002 410726558 504073503 616089837 672098004 821453116 1008147006 1232179674 1512220509 1848269511 2016294012 2464359348 3024441018 3696539022 5544808533 6048882036 6702310651 7393078044 11089617066 13404621302 16634425599 20106931953 22179234132 26809242604 33268851198 40213863906 60320795859 66537702396 73725417161 80427727812 120641591718 147450834322 180962387577 221176251483 241283183436 294901668644 361924775154 442352502966 542887162731 663528754449 723849550308 884705005932 1085774325462 1327057508898 1990586263347 2171548650924 2654115017796 3981172526694 5971758790041 7962345053388 11943517580082 23887035160164