Search a number
-
+
2041166688 = 253111932923
BaseRepresentation
bin111100110101001…
…1011101101100000
312021020211000022020
41321222123231200
513140014313223
6534313141440
7101403426201
oct17152335540
95236730266
102041166688
11958204820
1248b6ba880
13266b5bc52
141551335a8
15be2e51e3
hex79a9bb60

2041166688 has 48 divisors (see below), whose sum is σ = 5845162176. Its totient is φ = 618535040.

The previous prime is 2041166683. The next prime is 2041166747. The reversal of 2041166688 is 8866611402.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×20411666882 = 8332722896401778688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2041166683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 965406 + ... + 967517.

It is an arithmetic number, because the mean of its divisors is an integer number (121774212).

Almost surely, 22041166688 is an apocalyptic number.

It is an amenable number.

2041166688 is an abundant number, since it is smaller than the sum of its proper divisors (3803995488).

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

2041166688 is a wasteful number, since it uses less digits than its factorization.

2041166688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932947 (or 1932939 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 2041166688 is about 45179.2727697116. The cubic root of 2041166688 is about 1268.5068710988.

The spelling of 2041166688 in words is "two billion, forty-one million, one hundred sixty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1932923 3865846 5798769 7731692 11597538 15463384 21262153 23195076 30926768 42524306 46390152 61853536 63786459 85048612 92780304 127572918 170097224 185560608 255145836 340194448 510291672 680388896 1020583344 2041166688