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18929227122 = 236135916927
BaseRepresentation
bin10001101000010001…
…010001010101110010
31210212012200101000000
4101220101101111302
5302231340231442
612410155010430
71240040530041
oct215021212562
953765611000
1018929227122
118034067563
123803439a16
131a288bb210
14cb7dd4558
1575bc59d4c
hex468451572

18929227122 has 112 divisors (see below), whose sum is σ = 46625806080. Its totient is φ = 5725321056.

The previous prime is 18929227081. The next prime is 18929227183. The reversal of 18929227122 is 22172292981.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1109823 + ... + 1126749.

It is an arithmetic number, because the mean of its divisors is an integer number (416301840).

Almost surely, 218929227122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18929227122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23312903040).

18929227122 is an abundant number, since it is smaller than the sum of its proper divisors (27696578958).

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

18929227122 is a wasteful number, since it uses less digits than its factorization.

18929227122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17019 (or 17004 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

It can be divided in two parts, 18929 and 227122, that added together give a triangular number (246051 = T701).

The spelling of 18929227122 in words is "eighteen billion, nine hundred twenty-nine million, two hundred twenty-seven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 59 78 81 117 118 162 177 234 243 351 354 486 531 702 729 767 1053 1062 1458 1534 1593 2106 2301 3159 3186 4602 4779 6318 6903 9477 9558 13806 14337 16927 18954 20709 28674 33854 41418 43011 50781 62127 86022 101562 124254 152343 186381 220051 304686 372762 440102 457029 559143 660153 914058 998693 1118286 1320306 1371087 1980459 1997386 2742174 2996079 3960918 4113261 5941377 5992158 8226522 8988237 11882754 12339783 12983009 17824131 17976474 24679566 25966018 26964711 35648262 38949027 53472393 53929422 77898054 80894133 106944786 116847081 160417179 161788266 233694162 242682399 320834358 350541243 485364798 701082486 728047197 1051623729 1456094394 2103247458 3154871187 6309742374 9464613561 18929227122