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20166083820 = 22325200355933
BaseRepresentation
bin10010110001111111…
…100000010011101100
31221001102001012102100
4102301333200103230
5312300004140240
613133021055100
71312506612201
oct226177402354
957042035370
1020166083820
118609257283
123aa96b7490
131b94c1859c
14d94399ca8
157d0625e30
hex4b1fe04ec

20166083820 has 72 divisors (see below), whose sum is σ = 61202087856. Its totient is φ = 5374841472.

The previous prime is 20166083813. The next prime is 20166083843. The reversal of 20166083820 is 2838066102.

20166083820 is a `hidden beast` number, since 2 + 0 + 16 + 608 + 38 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332574 + ... + 388506.

It is an arithmetic number, because the mean of its divisors is an integer number (850028998).

Almost surely, 220166083820 is an apocalyptic number.

20166083820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20166083820 is an abundant number, since it is smaller than the sum of its proper divisors (41036004036).

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

20166083820 is a wasteful number, since it uses less digits than its factorization.

20166083820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57951 (or 57946 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 20166083820 in words is "twenty billion, one hundred sixty-six million, eighty-three thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2003 4006 6009 8012 10015 12018 18027 20030 24036 30045 36054 40060 55933 60090 72108 90135 111866 120180 167799 180270 223732 279665 335598 360540 503397 559330 671196 838995 1006794 1118660 1677990 2013588 2516985 3355980 5033970 10067940 112033799 224067598 336101397 448135196 560168995 672202794 1008304191 1120337990 1344405588 1680506985 2016608382 2240675980 3361013970 4033216764 5041520955 6722027940 10083041910 20166083820