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29169411126012 = 22327976919316907
BaseRepresentation
bin1101010000111100010000…
…11000110111001011111100
310211021120100102012012212200
412220132020120313023330
512310402423222013022
6142012124213031500
76100264125425433
oct650361030671374
9124246312165780
1029169411126012
119326750154613
123331288925590
1313378820c9151
1472bb426cc11a
15358b6b33bbac
hex1a87886372fc

29169411126012 has 144 divisors (see below), whose sum is σ = 74813772633600. Its totient is φ = 9581223075840.

The previous prime is 29169411126001. The next prime is 29169411126029. The reversal of 29169411126012 is 21062111496192.

29169411126012 is a `hidden beast` number, since 2 + 9 + 16 + 9 + 4 + 11 + 12 + 601 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4223163063 + ... + 4223169969.

Almost surely, 229169411126012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29169411126012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37406886316800).

29169411126012 is an abundant number, since it is smaller than the sum of its proper divisors (45644361507588).

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

29169411126012 is a wasteful number, since it uses less digits than its factorization.

29169411126012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9696 (or 9691 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 29169411126012 in words is "twenty-nine trillion, one hundred sixty-nine billion, four hundred eleven million, one hundred twenty-six thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 769 948 1422 1538 1931 2307 2844 3076 3862 4614 5793 6907 6921 7724 9228 11586 13814 13842 17379 20721 23172 27628 27684 34758 41442 60751 62163 69516 82884 121502 124326 152549 182253 243004 248652 305098 364506 457647 545653 546759 610196 729012 915294 1091306 1093518 1372941 1484939 1636959 1830588 2182612 2187036 2745882 2969878 3273918 4454817 4910877 5311483 5491764 5939756 6547836 8909634 9821754 10622966 13337417 13364451 15934449 17819268 19643508 21245932 26674834 26728902 31868898 40012251 47803347 53349668 53457804 63737796 80024502 95606694 117310181 120036753 160049004 191213388 234620362 240073506 351930543 419607157 469240724 480147012 703861086 839214314 1053655943 1055791629 1258821471 1407722172 1678428628 2107311886 2111583258 2517642942 3160967829 3776464413 4214623772 4223166516 5035285884 6321935658 7552928826 9482903487 10256473673 12643871316 15105857652 18965806974 20512947346 30769421019 37931613948 41025894692 61538842038 92308263057 123077684076 184616526114 369233052228 810261420167 1620522840334 2430784260501 3241045680668 4861568521002 7292352781503 9723137042004 14584705563006 29169411126012