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11945855160 = 2333529381413
BaseRepresentation
bin10110010000000011…
…10100100010111000
31010211112020022121000
423020001310202320
5143431114331120
65253213045000
7602013044031
oct131001644270
933745208530
1011945855160
11508013a878
122394786760
131184b87965
14814765a88
1549db27990
hex2c80748b8

11945855160 has 128 divisors (see below), whose sum is σ = 41192712000. Its totient is φ = 3075706368.

The previous prime is 11945855153. The next prime is 11945855167. The reversal of 11945855160 is 6155854911.

11945855160 is a `hidden beast` number, since 1 + 1 + 9 + 4 + 585 + 5 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (11945855153) and next prime (11945855167).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11945855167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159387 + ... + 222026.

Almost surely, 211945855160 is an apocalyptic number.

11945855160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11945855160 is an abundant number, since it is smaller than the sum of its proper divisors (29246856840).

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

11945855160 is a wasteful number, since it uses less digits than its factorization.

11945855160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381462 (or 381452 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 45.

The spelling of 11945855160 in words is "eleven billion, nine hundred forty-five million, eight hundred fifty-five thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 87 90 108 116 120 135 145 174 180 216 232 261 270 290 348 360 435 522 540 580 696 783 870 1044 1080 1160 1305 1566 1740 2088 2610 3132 3480 3915 5220 6264 7830 10440 15660 31320 381413 762826 1144239 1525652 1907065 2288478 3051304 3432717 3814130 4576956 5721195 6865434 7628260 9153912 10298151 11060977 11442390 13730868 15256520 17163585 20596302 22121954 22884780 27461736 33182931 34327170 41192604 44243908 45769560 51490755 55304885 66365862 68654340 82385208 88487816 99548793 102981510 110609770 132731724 137308680 165914655 199097586 205963020 221219540 265463448 298646379 331829310 398195172 411926040 442439080 497743965 597292758 663658620 796390344 995487930 1194585516 1327317240 1493231895 1990975860 2389171032 2986463790 3981951720 5972927580 11945855160