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2166389929 = 11229261349
BaseRepresentation
bin1000000100100000…
…0111110010101001
312120222110000022001
42001020013302221
513414043434204
6554545131001
7104454003424
oct20110076251
95528400261
102166389929
11a11963900
12505629a61
13286a94442
14167a0c9bb
15ca2cd4a4
hex81207ca9

2166389929 has 36 divisors (see below), whose sum is σ = 2513793100. Its totient is φ = 1865001600.

The previous prime is 2166389909. The next prime is 2166389947. The reversal of 2166389929 is 9299836612.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 52229529 + 2114160400 = 7227^2 + 45980^2 .

It is not a de Polignac number, because 2166389929 - 27 = 2166389801 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2166389929.

It is not an unprimeable number, because it can be changed into a prime (2166389909) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6207247 + ... + 6207595.

Almost surely, 22166389929 is an apocalyptic number.

2166389929 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2166389929 is a deficient number, since it is larger than the sum of its proper divisors (347403171).

2166389929 is a wasteful number, since it uses less digits than its factorization.

2166389929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 450 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 55.

The square root of 2166389929 is about 46544.4940782473. The cubic root of 2166389929 is about 1293.9342521341.

The spelling of 2166389929 in words is "two billion, one hundred sixty-six million, three hundred eighty-nine thousand, nine hundred twenty-nine".

Divisors: 1 11 29 61 121 319 349 671 841 1769 3509 3839 7381 9251 10121 19459 21289 42229 51301 101761 111331 214049 234179 293509 564311 617381 1224641 2575969 3228599 6207421 6791191 17904049 35514589 74703101 196944539 2166389929