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11489460948 = 22327177336739
BaseRepresentation
bin10101011001101001…
…10100001011010100
31002122201110002102200
422230310310023110
5142012300222243
65140031004500
7554501543460
oct125464641324
932581402380
1011489460948
114966557079
122287969730
13111145c704
147adcc14a0
15473a24ad3
hex2acd342d4

11489460948 has 144 divisors (see below), whose sum is σ = 35626631040. Its totient is φ = 3047196672.

The previous prime is 11489460929. The next prime is 11489460971. The reversal of 11489460948 is 84906498411.

It is a happy number.

11489460948 is a `hidden beast` number, since 1 + 14 + 89 + 460 + 94 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11489460894 and 11489460903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 294363 + ... + 331101.

It is an arithmetic number, because the mean of its divisors is an integer number (247407160).

Almost surely, 211489460948 is an apocalyptic number.

11489460948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11489460948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17813315520).

11489460948 is an abundant number, since it is smaller than the sum of its proper divisors (24137170092).

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

11489460948 is a wasteful number, since it uses less digits than its factorization.

11489460948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36846 (or 36841 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 11489460948 in words is "eleven billion, four hundred eighty-nine million, four hundred sixty thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 73 84 102 119 126 146 153 204 219 238 252 292 306 357 438 476 511 612 657 714 876 1022 1071 1241 1314 1428 1533 2044 2142 2482 2628 3066 3723 4284 4599 4964 6132 7446 8687 9198 11169 14892 17374 18396 22338 26061 34748 36739 44676 52122 73478 78183 104244 110217 146956 156366 220434 257173 312732 330651 440868 514346 624563 661302 771519 1028692 1249126 1322604 1543038 1873689 2314557 2498252 2681947 3086076 3747378 4371941 4629114 5363894 5621067 7494756 8045841 8743882 9258228 10727788 11242134 13115823 16091682 17487764 18773629 22484268 24137523 26231646 32183364 37547258 39347469 45593099 48275046 52463292 56320887 75094516 78694938 91186198 96550092 112641774 136779297 157389876 168962661 182372396 225283548 273558594 319151693 337925322 410337891 547117188 638303386 675850644 820675782 957455079 1276606772 1641351564 1914910158 2872365237 3829820316 5744730474 11489460948