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1138379466 = 237217239953
BaseRepresentation
bin100001111011010…
…0100101011001010
32221100001200001110
41003312210223022
54312411120331
6304543231150
740132031400
oct10366445312
92840050043
101138379466
11534649384
122792a84b6
13151acaa23
14ab28d470
1569e17946
hex43da4aca

1138379466 has 96 divisors (see below), whose sum is σ = 2818955520. Its totient is φ = 304518144.

The previous prime is 1138379419. The next prime is 1138379467. The reversal of 1138379466 is 6649738311.

It is a happy number.

It is a super-2 number, since 2×11383794662 = 2591815617220890312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1138379467) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1194046 + ... + 1194998.

It is an arithmetic number, because the mean of its divisors is an integer number (29364120).

Almost surely, 21138379466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1138379466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409477760).

1138379466 is an abundant number, since it is smaller than the sum of its proper divisors (1680576054).

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

1138379466 is a wasteful number, since it uses less digits than its factorization.

1138379466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1221 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 1138379466 is about 33739.8794603656. The cubic root of 1138379466 is about 1044.1486976437.

The spelling of 1138379466 in words is "one billion, one hundred thirty-eight million, three hundred seventy-nine thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 147 238 239 294 357 478 714 717 833 953 1434 1666 1673 1906 2499 2859 3346 4063 4998 5019 5718 6671 8126 10038 11711 12189 13342 16201 20013 23422 24378 28441 32402 35133 40026 46697 48603 56882 70266 85323 93394 97206 113407 140091 170646 199087 226814 227767 280182 340221 398174 455534 597261 680442 683301 793849 1194522 1366602 1587698 1594369 2381547 3188738 3872039 4763094 4783107 7744078 9566214 11160583 11616117 22321166 23232234 27104273 33481749 54208546 66963498 81312819 162625638 189729911 379459822 569189733 1138379466