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2166408936 = 233310029671
BaseRepresentation
bin1000000100100000…
…1100011011101000
312120222110222101000
42001020030123220
513414100041221
6554545355000
7104454113016
oct20110143350
95528428330
102166408936
11a1197710a
12505638a60
13286a9cca3
14167a158b6
15ca2d3e26
hex8120c6e8

2166408936 has 32 divisors (see below), whose sum is σ = 6017803200. Its totient is φ = 722136240.

The previous prime is 2166408919. The next prime is 2166408943. The reversal of 2166408936 is 6398046612.

It is a junction number, because it is equal to n+sod(n) for n = 2166408891 and 2166408900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5014620 + ... + 5015051.

It is an arithmetic number, because the mean of its divisors is an integer number (188056350).

Almost surely, 22166408936 is an apocalyptic number.

It is an amenable number.

2166408936 is an abundant number, since it is smaller than the sum of its proper divisors (3851394264).

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

2166408936 is a wasteful number, since it uses less digits than its factorization.

2166408936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10029686 (or 10029676 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 2166408936 is about 46544.6982587706. The cubic root of 2166408936 is about 1293.9380362692.

The spelling of 2166408936 in words is "two billion, one hundred sixty-six million, four hundred eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 10029671 20059342 30089013 40118684 60178026 80237368 90267039 120356052 180534078 240712104 270801117 361068156 541602234 722136312 1083204468 2166408936