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59009104422 = 23419432112113
BaseRepresentation
bin110110111101001101…
…110111101000100110
312122022110001002120000
4312331031313220212
51431322312320142
643035225522130
74156205053212
oct667515675046
9178273032500
1059009104422
11230311125a4
12b52a043346
13574538a048
142bdb035942
15180576e14c
hexdbd377a26

59009104422 has 160 divisors (see below), whose sum is σ = 143162785920. Its totient is φ = 18106260480.

The previous prime is 59009104417. The next prime is 59009104423. The reversal of 59009104422 is 22440190095.

59009104422 is a `hidden beast` number, since 590 + 0 + 9 + 1 + 0 + 44 + 22 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59009104423) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27925638 + ... + 27927750.

It is an arithmetic number, because the mean of its divisors is an integer number (894767412).

Almost surely, 259009104422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59009104422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71581392960).

59009104422 is an abundant number, since it is smaller than the sum of its proper divisors (84153681498).

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

59009104422 is a wasteful number, since it uses less digits than its factorization.

59009104422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 59009104422 in words is "fifty-nine billion, nine million, one hundred four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 43 54 57 81 86 114 129 162 171 211 258 342 387 422 513 633 774 817 1026 1161 1266 1539 1634 1899 2113 2322 2451 3078 3483 3798 4009 4226 4902 5697 6339 6966 7353 8018 9073 11394 12027 12678 14706 17091 18146 19017 22059 24054 27219 34182 36081 38034 40147 44118 54438 57051 66177 72162 80294 81657 90859 108243 114102 120441 132354 163314 171153 172387 181718 216486 240882 244971 272577 324729 342306 344774 361323 445843 489942 517161 545154 649458 722646 734913 817731 891686 1034322 1083969 1337529 1469826 1551483 1635462 1726321 2167938 2453193 2675058 3102966 3251907 3452642 4012587 4654449 4906386 5178963 6503814 7359579 8025174 8471017 9308898 10357926 12037761 13963347 14719158 15536889 16942034 19171249 24075522 25413051 27926694 31073778 36113283 38342498 46610667 50826102 57513747 72226566 76239153 93221334 115027494 139832001 152478306 172541241 228717459 279664002 345082482 364253731 457434918 517623723 686152377 728507462 1035247446 1092761193 1372304754 1552871169 2185522386 3105742338 3278283579 6556567158 9834850737 19669701474 29504552211 59009104422