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3416303466366 = 2373714591506781
BaseRepresentation
bin110001101101101011100…
…011011111011101111110
3110002121002001200112211120
4301231223203133131332
5421433042141410431
611133232251331410
7501551120223030
oct61555343373576
913077061615746
103416303466366
1110a793427571a
12472129150b66
131ba204a66c5b
14bb4c8463c50
155dcec5c9196
hex31b6b8df77e

3416303466366 has 64 divisors (see below), whose sum is σ = 8025241474560. Its totient is φ = 949054423680.

The previous prime is 3416303466347. The next prime is 3416303466391. The reversal of 3416303466366 is 6636643036143.

It is a super-3 number, since 3×34163034663663 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 1513896 + ... + 3020676.

It is an arithmetic number, because the mean of its divisors is an integer number (125394398040).

Almost surely, 23416303466366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3416303466366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4012620737280).

3416303466366 is an abundant number, since it is smaller than the sum of its proper divisors (4608938008194).

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

3416303466366 is a wasteful number, since it uses less digits than its factorization.

3416303466366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508289.

The product of its (nonzero) digits is 10077696, while the sum is 51.

The spelling of 3416303466366 in words is "three trillion, four hundred sixteen billion, three hundred three million, four hundred sixty-six thousand, three hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 259 518 777 1459 1554 2918 4377 8754 10213 20426 30639 53983 61278 107966 161949 323898 377881 755762 1133643 1506781 2267286 3013562 4520343 9040686 10547467 21094934 31642401 55750897 63284802 111501794 167252691 334505382 390256279 780512558 1170768837 2198393479 2341537674 4396786958 6595180437 13190360874 15388754353 30777508706 46166263059 81340558723 92332526118 162681117446 244021676169 488043352338 569383911061 1138767822122 1708151733183 3416303466366