Search a number
-
+
2144661696 = 26329533907
BaseRepresentation
bin111111111010100…
…1111000011000000
312112110120002202200
41333311033003000
513343013133241
6552451313200
7104101216002
oct17765170300
95473502680
102144661696
11a00673091
124ba2ab800
132824274b8
14164b94372
15c843a4b6
hex7fd4f0c0

2144661696 has 84 divisors (see below), whose sum is σ = 6155311032. Its totient is φ = 713954304.

The previous prime is 2144661683. The next prime is 2144661709. The reversal of 2144661696 is 6961664412.

It is a happy number.

2144661696 is a `hidden beast` number, since 21 + 4 + 4 + 6 + 616 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2144661683) and next prime (2144661709).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 546975 + ... + 550881.

Almost surely, 22144661696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144661696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3077655516).

2144661696 is an abundant number, since it is smaller than the sum of its proper divisors (4010649336).

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

2144661696 is a wasteful number, since it uses less digits than its factorization.

2144661696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4878 (or 4865 counting only the distinct ones).

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

The square root of 2144661696 is about 46310.4922884653. The cubic root of 2144661696 is about 1289.5937859261.

The spelling of 2144661696 in words is "two billion, one hundred forty-four million, six hundred sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 953 1906 2859 3812 3907 5718 7624 7814 8577 11436 11721 15248 15628 17154 22872 23442 30496 31256 34308 35163 45744 46884 60992 62512 68616 70326 91488 93768 125024 137232 140652 182976 187536 250048 274464 281304 375072 548928 562608 750144 1125216 2250432 3723371 7446742 11170113 14893484 22340226 29786968 33510339 44680452 59573936 67020678 89360904 119147872 134041356 178721808 238295744 268082712 357443616 536165424 714887232 1072330848 2144661696