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66194653680 = 2433530645673
BaseRepresentation
bin111101101001100000…
…100100000111110000
320022212012220211002000
4331221200210013300
52041031312404210
650224233054000
74532236162341
oct755140440760
9208765824060
1066194653680
112608917a061
12109b4557300
13631bc5a93c
1432bd4920c8
151ac64daac0
hexf698241f0

66194653680 has 80 divisors (see below), whose sum is σ = 228003814560. Its totient is φ = 17651907072.

The previous prime is 66194653663. The next prime is 66194653687. The reversal of 66194653680 is 8635649166.

66194653680 is a `hidden beast` number, since 6 + 61 + 9 + 46 + 536 + 8 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66194653687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15320677 + ... + 15324996.

It is an arithmetic number, because the mean of its divisors is an integer number (2850047682).

Almost surely, 266194653680 is an apocalyptic number.

66194653680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66194653680 is an abundant number, since it is smaller than the sum of its proper divisors (161809160880).

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

66194653680 is a wasteful number, since it uses less digits than its factorization.

66194653680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30645695 (or 30645683 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 66194653680 in words is "sixty-six billion, one hundred ninety-four million, six hundred fifty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 30645673 61291346 91937019 122582692 153228365 183874038 245165384 275811057 306456730 367748076 459685095 490330768 551622114 612913460 735496152 827433171 919370190 1103244228 1225826920 1379055285 1470992304 1654866342 1838740380 2206488456 2451653840 2758110570 3309732684 3677480760 4137165855 4412976912 5516221140 6619465368 7354961520 8274331710 11032442280 13238930736 16548663420 22064884560 33097326840 66194653680