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3419269449918 = 237217953971719
BaseRepresentation
bin110001110000011100010…
…101110100100010111110
3110002212201202201010101020
4301300130111310202332
5422010130434344133
611134442442525010
7502014453531300
oct61603425644276
913085652633336
103419269449918
1110a9116511aa3
12472816506766
131ba58839b2ca
14bb6ca333970
155de22b9e0b3
hex31c1c5748be

3419269449918 has 96 divisors (see below), whose sum is σ = 8423978745600. Its totient is φ = 919358205696.

The previous prime is 3419269449899. The next prime is 3419269449961. The reversal of 3419269449918 is 8199449629143.

It is a happy number.

3419269449918 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34192694499182 (a number of 26 digits) contains 22 as substring.

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, 47640063 + ... + 47711781.

It is an arithmetic number, because the mean of its divisors is an integer number (87749778600).

Almost surely, 23419269449918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3419269449918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4211989372800).

3419269449918 is an abundant number, since it is smaller than the sum of its proper divisors (5004709295682).

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

3419269449918 is a wasteful number, since it uses less digits than its factorization.

3419269449918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81294 (or 81287 counting only the distinct ones).

The product of its digits is 120932352, while the sum is 69.

The spelling of 3419269449918 in words is "three trillion, four hundred nineteen billion, two hundred sixty-nine million, four hundred forty-nine thousand, nine hundred eighteen".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 147 238 294 357 714 833 1666 2499 4998 9539 19078 28617 57234 66773 71719 133546 143438 162163 200319 215157 324326 400638 430314 467411 486489 502033 934822 972978 1004066 1135141 1219223 1402233 1506099 2270282 2438446 2804466 3012198 3405423 3514231 3657669 6810846 7028462 7315338 7945987 8534561 10542693 15891974 17069122 21085386 23837961 25603683 47675922 51207366 59741927 119483854 179225781 358451562 684127541 1368255082 2052382623 4104765246 4788892787 9577785574 11630168197 14366678361 23260336394 28733356722 33522249509 34890504591 67044499018 69781009182 81411177379 100566748527 162822354758 201133497054 244233532137 488467064274 569878241653 1139756483306 1709634724959 3419269449918