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14889252251874 = 23711135503450493
BaseRepresentation
bin1101100010101010110010…
…0101110110100011100010
31221201101202120220212021110
43120222230211312203202
53422421142034024444
651400010021004150
73064466356646340
oct330525445664342
957641676825243
1014889252251874
114820550809210
121805778553656
13840086b36080
14396902288990
151ac484ab6cb9
hexd8aac9768e2

14889252251874 has 128 divisors (see below), whose sum is σ = 39989682044928. Its totient is φ = 3569194056960.

The previous prime is 14889252251843. The next prime is 14889252251891. The reversal of 14889252251874 is 47815225298841.

14889252251874 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32825772 + ... + 33276264.

It is an arithmetic number, because the mean of its divisors is an integer number (312419390976).

Almost surely, 214889252251874 is an apocalyptic number.

14889252251874 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14889252251874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19994841022464).

14889252251874 is an abundant number, since it is smaller than the sum of its proper divisors (25100429793054).

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

14889252251874 is a wasteful number, since it uses less digits than its factorization.

14889252251874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456032.

The product of its digits is 103219200, while the sum is 66.

The spelling of 14889252251874 in words is "fourteen trillion, eight hundred eighty-nine billion, two hundred fifty-two million, two hundred fifty-one thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 2002 3003 5503 6006 11006 16509 33018 38521 60533 71539 77042 115563 121066 143078 181599 214617 231126 363198 423731 429234 450493 500773 786929 847462 900986 1001546 1271193 1351479 1502319 1573858 2360787 2542386 2702958 3004638 3153451 4721574 4955423 5508503 5856409 6306902 9460353 9910846 11017006 11712818 14866269 16525509 17569227 18920706 29732538 33051018 34687961 35138454 40994863 64420499 69375922 81989726 104063883 122984589 128840998 193261497 208127766 245969178 386522994 450943493 901886986 1352830479 2479062979 2705660958 4958125958 7437188937 14874377874 17353440853 27269692769 32227818727 34706881706 52060322559 54539385538 64455637454 81809078307 96683456181 104120645118 163618156614 190887849383 193366912362 225594731089 354506005997 381775698766 451189462178 572663548149 676784193267 709012011994 1063518017991 1145327096298 1353568386534 2127036035982 2481542041979 4963084083958 7444626125937 14889252251874