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22056126642352 = 241117199229716127
BaseRepresentation
bin1010000001111010101111…
…00101111111100010110000
32220002112201101111012120101
411000331113211333202300
510342331421410023402
6114524240015522144
74434334244065525
oct500752745774260
986075641435511
1022056126642352
117033a5053aa60
122582760229354
13c3cb64994c8a
14563744db514c
15283ae5509b87
hex140f5797f8b0

22056126642352 has 160 divisors (see below), whose sum is σ = 49633623244800. Its totient is φ = 9383691018240.

The previous prime is 22056126642323. The next prime is 22056126642401. The reversal of 22056126642352 is 25324662165022.

22056126642352 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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, 1367644113 + ... + 1367660239.

It is an arithmetic number, because the mean of its divisors is an integer number (310210145280).

Almost surely, 222056126642352 is an apocalyptic number.

22056126642352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22056126642352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24816811622400).

22056126642352 is an abundant number, since it is smaller than the sum of its proper divisors (27577496602448).

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

22056126642352 is a wasteful number, since it uses less digits than its factorization.

22056126642352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18659 (or 18653 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 46.

The spelling of 22056126642352 in words is "twenty-two trillion, fifty-six billion, one hundred twenty-six million, six hundred forty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 199 272 374 398 748 796 1496 1592 2189 2297 2992 3184 3383 4378 4594 6766 8756 9188 13532 16127 17512 18376 25267 27064 32254 35024 36752 37213 39049 50534 54128 64508 74426 78098 101068 129016 148852 156196 177397 202136 258032 274159 297704 312392 354794 404272 429539 457103 548318 595408 624784 709588 859078 914206 1096636 1419176 1718156 1828412 2193272 2838352 3015749 3209273 3436312 3656824 4386544 5028133 6031498 6418546 6872624 7313648 7770751 10056266 12062996 12837092 15541502 20112532 24125992 25674184 31083004 35302003 37043719 40225064 48251984 51348368 54557641 62166008 70604006 74087438 80450128 85478261 109115282 124332016 141208012 148174876 170956522 218230564 282416024 296349752 341913044 407480909 436461128 564832048 592699504 600134051 629743223 683826088 814961818 872922256 1200268102 1259486446 1367652176 1629923636 2400536204 2518972892 3259847272 4801072408 5037945784 6519694544 6927175453 7371700081 9602144816 10075891568 13854350906 14743400162 27708701812 29486800324 55417403624 58973600648 81088700891 110834807248 117947201296 125318901377 162177401782 250637802754 324354803564 501275605508 648709607128 1002551211016 1297419214256 1378507915147 2005102422032 2757015830294 5514031660588 11028063321176 22056126642352