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45345642112212 = 223132195991964659
BaseRepresentation
bin10100100111101110110101…
…11000111110010011010100
312221120000000202122200220020
422103313122320332103110
521420420333340042322
6240235300030505140
712360054166222011
oct1223673270762324
9187500022580806
1045345642112212
11134a2a848a5322
1251043579651b0
131c3c0ca420400
14b2aa52a1c708
15539826ac605c
hex293ddae3e4d4

45345642112212 has 144 divisors (see below), whose sum is σ = 120803014080000. Its totient is φ = 13196089116288.

The previous prime is 45345642112159. The next prime is 45345642112223. The reversal of 45345642112212 is 21221124654354.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22098339 + ... + 24062997.

It is an arithmetic number, because the mean of its divisors is an integer number (838909820000).

Almost surely, 245345642112212 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 45345642112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60401507040000).

45345642112212 is an abundant number, since it is smaller than the sum of its proper divisors (75457371967788).

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

45345642112212 is a wasteful number, since it uses less digits than its factorization.

45345642112212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965310 (or 1965295 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

Adding to 45345642112212 its reverse (21221124654354), we get a palindrome (66566766766566).

The spelling of 45345642112212 in words is "forty-five trillion, three hundred forty-five billion, six hundred forty-two million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 169 228 247 338 494 507 599 676 741 988 1014 1198 1482 1797 2028 2396 2964 3211 3594 6422 7188 7787 9633 11381 12844 15574 19266 22762 23361 31148 34143 38532 45524 46722 68286 93444 101231 136572 147953 202462 295906 303693 404924 443859 591812 607386 887718 1214772 1775436 1923389 1964659 3846778 3929318 5770167 5893977 7693556 7858636 11540334 11787954 23080668 23575908 25540567 37328521 51081134 74657042 76621701 102162268 111985563 149314084 153243402 223971126 306486804 332027371 447942252 485270773 664054742 970541546 996082113 1176830741 1328109484 1455812319 1941083092 1992164226 2353661482 2911624638 3530492223 3984328452 4707322964 5823249276 6308520049 7060984446 12617040098 14121968892 15298799633 18925560147 22359784079 25234080196 30597599266 37851120294 44719568158 45896398899 61195198532 67079352237 75702240588 89439136316 91792797798 134158704474 183585595596 198884395229 268317408948 290677193027 397768790458 581354386054 596653185687 795537580916 872031579081 1162708772108 1193306371374 1744063158162 2386612742748 3488126316324 3778803509351 7557607018702 11336410528053 15115214037404 22672821056106 45345642112212