Search a number
-
+
11944610160 = 243577109887
BaseRepresentation
bin10110001111111010…
…00100100101110000
31010211102220001202220
423013331010211300
5143430310011120
65253130241040
7601666340220
oct130775044560
933742801686
1011944610160
11507a46a44a
122394286180
131184840082
14814520080
1549d97db40
hex2c7f44970

11944610160 has 80 divisors (see below), whose sum is σ = 42318053376. Its totient is φ = 2730196224.

The previous prime is 11944610143. The next prime is 11944610179. The reversal of 11944610160 is 6101644911.

11944610160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3553264 + ... + 3556623.

Almost surely, 211944610160 is an apocalyptic number.

11944610160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11944610160 is an abundant number, since it is smaller than the sum of its proper divisors (30373443216).

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

11944610160 is a wasteful number, since it uses less digits than its factorization.

11944610160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7109910 (or 7109904 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 11944610160 in words is "eleven billion, nine hundred forty-four million, six hundred ten thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 7109887 14219774 21329661 28439548 35549435 42659322 49769209 56879096 71098870 85318644 99538418 106648305 113758192 142197740 149307627 170637288 199076836 213296610 248846045 284395480 298615254 341274576 398153672 426593220 497692090 568790960 597230508 746538135 796307344 853186440 995384180 1194461016 1493076270 1706372880 1990768360 2388922032 2986152540 3981536720 5972305080 11944610160