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21969613918068 = 22319731828972173
BaseRepresentation
bin1001111111011001100110…
…00010001000111101110100
32212210021102011112110101220
410333230303002020331310
510334422232130334233
6114420411251550340
74425152341054545
oct477546302107564
985707364473356
1021969613918068
117000296345813
122569a372bb3b0
13c349584a576b
1455d4992c24cc
152817303c4eb3
hex13fb33088f74

21969613918068 has 96 divisors (see below), whose sum is σ = 54703388342400. Its totient is φ = 6842265882624.

The previous prime is 21969613918039. The next prime is 21969613918127. The reversal of 21969613918068 is 86081931696912.

It is a junction number, because it is equal to n+sod(n) for n = 21969613917993 and 21969613918011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304366030 + ... + 304438202.

It is an arithmetic number, because the mean of its divisors is an integer number (569826961900).

Almost surely, 221969613918068 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 21969613918068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27351694171200).

21969613918068 is an abundant number, since it is smaller than the sum of its proper divisors (32733774424332).

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

21969613918068 is a wasteful number, since it uses less digits than its factorization.

21969613918068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90561 (or 90559 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 69.

The spelling of 21969613918068 in words is "twenty-one trillion, nine hundred sixty-nine billion, six hundred thirteen million, nine hundred eighteen thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 73 76 114 146 219 228 292 438 876 1387 2774 4161 5548 8322 16644 18289 36578 54867 72173 73156 109734 144346 216519 219468 288692 347491 433038 694982 866076 1042473 1335097 1371287 1389964 2084946 2670194 2742574 4005291 4113861 4169892 5268629 5340388 5485148 8010582 8227722 10537258 15805887 16021164 16455444 21074516 25366843 31611774 50733686 63223548 76100529 100103951 101467372 152201058 200207902 300311853 304402116 400415804 600623706 1201247412 1319971997 2639943994 3959915991 5279887988 7919831982 15839663964 25079467943 50158935886 75238403829 96357955781 100317871772 150476807658 192715911562 289073867343 300953615316 385431823124 578147734686 1156295469372 1830801159839 3661602319678 5492403479517 7323204639356 10984806959034 21969613918068