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13891318144902 = 2331154167364231
BaseRepresentation
bin1100101000100101001100…
…0101010101111110000110
31211011222220211211200021000
43022021103011111332012
53310043404421114102
645313330005434130
72632420546002132
oct312112305257606
954158824750230
1013891318144902
114476302a46330
12168429240b946
13799c3a875c53
143604b43703c2
151915298cc01c
hexca253155f86

13891318144902 has 128 divisors (see below), whose sum is σ = 33788827376640. Its totient is φ = 4195400832000.

The previous prime is 13891318144901. The next prime is 13891318144909. The reversal of 13891318144902 is 20944181319831.

13891318144902 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 13 + 181 + 449 + 0 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13891318144901) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 216239127 + ... + 216303357.

It is an arithmetic number, because the mean of its divisors is an integer number (263975213880).

Almost surely, 213891318144902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13891318144902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16894413688320).

13891318144902 is an abundant number, since it is smaller than the sum of its proper divisors (19897509231738).

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

13891318144902 is a wasteful number, since it uses less digits than its factorization.

13891318144902 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65467 (or 65461 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 13891318144902 in words is "thirteen trillion, eight hundred ninety-one billion, three hundred eighteen million, one hundred forty-four thousand, nine hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 541 594 673 1082 1346 1623 2019 3246 4038 4869 5951 6057 7403 9738 11902 12114 14607 14806 17853 18171 22209 29214 35706 36342 44418 53559 64231 66627 107118 128462 133254 160677 192693 199881 321354 364093 385386 399762 578079 706541 728186 1092279 1156158 1413082 1734237 2119623 2184558 3276837 3468474 4005023 4239246 6358869 6553674 8010046 9830511 12015069 12717738 19076607 19661022 24030138 34748971 36045207 38153214 43227463 69497942 72090414 86454926 104246913 108135621 129682389 208493826 216271242 259364778 312740739 382238681 389047167 475502093 625481478 764477362 778094334 938222217 951004186 1146716043 1167141501 1426506279 1876444434 2293432086 2334283002 2853012558 3440148129 4279518837 6880296258 8559037674 10320444387 12838556511 20640888774 23386057483 25677113022 46772114966 70158172449 140316344898 210474517347 257246632313 420949034694 514493264626 631423552041 771739896939 1262847104082 1543479793878 2315219690817 4630439381634 6945659072451 13891318144902