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4091665988934 = 2322324160376793
BaseRepresentation
bin111011100010101010010…
…011000011110101000110
3112111011022020102102020100
4323202222103003311012
51014014212443121214
612411404014144530
7601420204026216
oct73425223036506
915434266372210
104091665988934
1113382a1865917
12560baa7b2146
13238ac4b19684
141020755cc246
157167871d309
hex3b8aa4c3d46

4091665988934 has 96 divisors (see below), whose sum is σ = 9292014224064. Its totient is φ = 1298769500160.

The previous prime is 4091665988867. The next prime is 4091665989001. The reversal of 4091665988934 is 4398895661904.

4091665988934 is a `hidden beast` number, since 409 + 1 + 6 + 6 + 59 + 88 + 93 + 4 = 666.

4091665988934 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4091665988867) and next prime (4091665989001).

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, 602332242 + ... + 602339034.

It is an arithmetic number, because the mean of its divisors is an integer number (96791814834).

Almost surely, 24091665988934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4091665988934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4646007112032).

4091665988934 is an abundant number, since it is smaller than the sum of its proper divisors (5200348235130).

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

4091665988934 is a wasteful number, since it uses less digits than its factorization.

4091665988934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13102 (or 13099 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 4091665988934 in words is "four trillion, ninety-one billion, six hundred sixty-five million, nine hundred eighty-eight thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 241 414 482 723 1446 2169 4338 5543 6037 6793 11086 12074 13586 16629 18111 20379 33258 36222 40758 49887 54333 61137 99774 108666 122274 138851 156239 277702 312478 416553 468717 833106 937434 1249659 1406151 1454917 1637113 2499318 2812302 2909834 3274226 4364751 4911339 8729502 9822678 13094253 14734017 26188506 29468034 33463091 37653599 41009341 66926182 75307198 82018682 100389273 112960797 123028023 200778546 225921594 246056046 301167819 338882391 369084069 602335638 677764782 738168138 943214843 1886429686 2829644529 5659289058 8488933587 9883251181 16977867174 19766502362 29649753543 59299507086 88949260629 177898521258 227314777163 454629554326 681944331489 1363888662978 2045832994467 4091665988934