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2164747904 = 27111790439
BaseRepresentation
bin1000000100000111…
…0110111010000000
312120212100120212022
42001001312322000
513413133413104
6554450021012
7104434024244
oct20101667200
95525316768
102164747904
11a10a42160
12504b77768
1328663ac27
14167702424
15ca0a6bbe
hex81076e80

2164747904 has 64 divisors (see below), whose sum is σ = 4981435200. Its totient is φ = 926085120.

The previous prime is 2164747903. The next prime is 2164747943. The reversal of 2164747904 is 4097474612.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×21647479042 = 9372266975744786432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (2164747901) by changing a digit.

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, 21284 + ... + 69155.

It is an arithmetic number, because the mean of its divisors is an integer number (77834925).

Almost surely, 22164747904 is an apocalyptic number.

It is an amenable number.

2164747904 is an abundant number, since it is smaller than the sum of its proper divisors (2816687296).

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

2164747904 is a wasteful number, since it uses less digits than its factorization.

2164747904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90481 (or 90469 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 44.

The square root of 2164747904 is about 46526.8514301151. The cubic root of 2164747904 is about 1293.6072550733.

The spelling of 2164747904 in words is "two billion, one hundred sixty-four million, seven hundred forty-seven thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 272 352 374 544 704 748 1088 1408 1496 2176 2992 5984 11968 23936 90439 180878 361756 723512 994829 1447024 1537463 1989658 2894048 3074926 3979316 5788096 6149852 7958632 11576192 12299704 15917264 16912093 24599408 31834528 33824186 49198816 63669056 67648372 98397632 127338112 135296744 196795264 270593488 541186976 1082373952 2164747904