Search a number
-
+
11728664992 = 2511315691889
BaseRepresentation
bin10101110110001010…
…10011100110100000
31010021101112220200201
422323011103212200
5143010014234432
65215453554544
7563435002402
oct127305234640
933241486621
1011728664992
114a79586670
122333aa5a54
13114bb92175
147d398ab72
15489a24ee7
hex2bb1539a0

11728664992 has 96 divisors (see below), whose sum is σ = 26062041600. Its totient is φ = 5147443200.

The previous prime is 11728664971. The next prime is 11728665031. The reversal of 11728664992 is 29946682711.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6207984 + ... + 6209872.

It is an arithmetic number, because the mean of its divisors is an integer number (271479600).

Almost surely, 211728664992 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 11728664992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13031020800).

11728664992 is an abundant number, since it is smaller than the sum of its proper divisors (14333376608).

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

11728664992 is a wasteful number, since it uses less digits than its factorization.

11728664992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2510 (or 2502 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 55.

The spelling of 11728664992 in words is "eleven billion, seven hundred twenty-eight million, six hundred sixty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 496 569 682 992 1138 1364 1889 2276 2728 3778 4552 5456 6259 7556 9104 10912 12518 15112 17639 18208 20779 25036 30224 35278 41558 50072 58559 60448 70556 83116 100144 117118 141112 166232 194029 200288 234236 282224 332464 388058 468472 564448 644149 664928 776116 936944 1074841 1288298 1552232 1873888 2149682 2576596 3104464 4299364 5153192 6208928 8598728 10306384 11823251 17197456 20612768 23646502 33320071 34394912 47293004 66640142 94586008 133280284 189172016 266560568 366520781 378344032 533121136 733041562 1066242272 1466083124 2932166248 5864332496 11728664992