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3949956816606 = 23231371271506443
BaseRepresentation
bin111001011110101011110…
…001011101111011011110
3111222121112021121120211100
4321132223301131323132
51004204002421112411
612222330214533530
7555242416653213
oct71365361357336
914877467546740
103949956816606
111293192714269
125396406672a6
13228630119208
14d9270dabb0a
156cb32935456
hex397abc5dede

3949956816606 has 96 divisors (see below), whose sum is σ = 9144524832768. Its totient is φ = 1229979764160.

The previous prime is 3949956816599. The next prime is 3949956816607. The reversal of 3949956816606 is 6066186599493.

3949956816606 is a `hidden beast` number, since 3 + 9 + 4 + 9 + 9 + 5 + 6 + 8 + 1 + 6 + 606 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3949956816607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1868821 + ... + 3375263.

It is an arithmetic number, because the mean of its divisors is an integer number (95255467008).

Almost surely, 23949956816606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3949956816606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572262416384).

3949956816606 is an abundant number, since it is smaller than the sum of its proper divisors (5194568016162).

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

3949956816606 is a wasteful number, since it uses less digits than its factorization.

3949956816606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506646 (or 1506643 counting only the distinct ones).

The product of its (nonzero) digits is 453496320, while the sum is 72.

The spelling of 3949956816606 in words is "three trillion, nine hundred forty-nine billion, nine hundred fifty-six million, eight hundred sixteen thousand, six hundred six".

Divisors: 1 2 3 6 9 18 31 37 62 74 93 111 127 186 222 254 279 333 381 558 666 762 1143 1147 2286 2294 3441 3937 4699 6882 7874 9398 10323 11811 14097 20646 23622 28194 35433 42291 70866 84582 145669 291338 437007 874014 1311021 1506443 2622042 3012886 4519329 9038658 13557987 27115974 46699733 55738391 93399466 111476782 140099199 167215173 191318261 280198398 334430346 382636522 420297597 501645519 573954783 840595194 1003291038 1147909566 1721864349 1727890121 3443728698 3455780242 5183670363 5930866091 7078775657 10367340726 11861732182 14157551314 15551011089 17792598273 21236326971 31102022178 35585196546 42472653942 53377794819 63708980913 106755589638 127417961826 219442045367 438884090734 658326136101 1316652272202 1974978408303 3949956816606