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42262222424646 = 23719227251929501
BaseRepresentation
bin10011001101111111100001…
…10000010100101001000110
312112122020011221112020000010
421212333300300110221012
521014411012420042041
6225514555201531050
711621226161300460
oct1146776060245106
9175566157466003
1042262222424646
111251434286a6a4
1248a6850943a86
131a7740615b743
14a61706b37130
154d450da6ca16
hex266ff0c14a46

42262222424646 has 128 divisors (see below), whose sum is σ = 102538496471040. Its totient is φ = 11343618000000.

The previous prime is 42262222424633. The next prime is 42262222424761. The reversal of 42262222424646 is 64642422226224.

It is a junction number, because it is equal to n+sod(n) for n = 42262222424595 and 42262222424604.

It is a congruent number.

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, 45002896 + ... + 45932396.

It is an arithmetic number, because the mean of its divisors is an integer number (801082003680).

Almost surely, 242262222424646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42262222424646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51269248235520).

42262222424646 is an abundant number, since it is smaller than the sum of its proper divisors (60276274046394).

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

42262222424646 is a wasteful number, since it uses less digits than its factorization.

42262222424646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930010.

The product of its digits is 7077888, while the sum is 48.

The spelling of 42262222424646 in words is "forty-two trillion, two hundred sixty-two billion, two hundred twenty-two million, four hundred twenty-four thousand, six hundred forty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 227 251 266 399 454 502 681 753 798 1362 1506 1589 1757 3178 3514 4313 4767 4769 5271 8626 9534 9538 10542 12939 14307 25878 28614 30191 33383 56977 60382 66766 90573 100149 113954 170931 181146 200298 341862 398839 797678 929501 1082563 1196517 1859002 2165126 2393034 2788503 3247689 5577006 6495378 6506507 7577941 13013014 15155882 17660519 19519521 22733823 35321038 39039042 45467646 52981557 105963114 123623633 210996727 233304751 247247266 370870899 421993454 466609502 632990181 699914253 741741798 1265980362 1399828506 1476977089 1633133257 2953954178 3266266514 4008937813 4430931267 4432790269 4899399771 8017875626 8861862534 8865580538 9798799542 12026813439 13298370807 24053626878 26596741614 28062564691 31029531883 52960178477 56125129382 62059063766 84187694073 93088595649 105920356954 158880535431 168375388146 186177191298 317761070862 370721249339 741442498678 1006243391063 1112163748017 2012486782126 2224327496034 3018730173189 6037460346378 7043703737441 14087407474882 21131111212323 42262222424646