Search a number
-
+
11353112435844 = 2231223112
BaseRepresentation
bin1010010100110101101000…
…1110111101110010000100
31111012100100221000000000000
42211031122032331302010
52442002133240421334
640051314200321300
72251143465312504
oct245153216756204
944170327000000
1011353112435844
113687911aa4393
121334386473230
13644794a82b9a
142b36ca51ba04
1514a4c1ab1299
hexa535a3bdc84

11353112435844 has 117 divisors (see below), whose sum is σ = 29814802705191. Its totient is φ = 3782733265080.

The previous prime is 11353112435783. The next prime is 11353112435893. The reversal of 11353112435844 is 44853421135311.

The square root of 11353112435844 is 3369438.

It is a perfect power (a square), and thus also a powerful number.

11353112435844 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 311 + 243 + 58 + 44 = 666.

11353112435844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11353112435844.

It is an unprimeable number.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 4912639449 + ... + 4912641759.

Almost surely, 211353112435844 is an apocalyptic number.

11353112435844 is the 3369438-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11353112435844

11353112435844 is an abundant number, since it is smaller than the sum of its proper divisors (18461690269347).

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

11353112435844 is an frugal number, since it uses more digits than its factorization.

11353112435844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4662 (or 2316 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 11353112435844 in words is "eleven trillion, three hundred fifty-three billion, one hundred twelve million, four hundred thirty-five thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2311 2916 4374 4622 6561 6933 8748 9244 13122 13866 19683 20799 26244 27732 39366 41598 59049 62397 78732 83196 118098 124794 177147 187191 236196 249588 354294 374382 531441 561573 708588 748764 1062882 1123146 1684719 2125764 2246292 3369438 5054157 5340721 6738876 10108314 10681442 15162471 16022163 20216628 21362884 30324942 32044326 45487413 48066489 60649884 64088652 90974826 96132978 136462239 144199467 181949652 192265956 272924478 288398934 409386717 432598401 545848956 576797868 818773434 865196802 1228160151 1297795203 1637546868 1730393604 2456320302 2595590406 3893385609 4912640604 5191180812 7786771218 11680156827 15573542436 23360313654 35040470481 46720627308 70080940962 105121411443 140161881924 210242822886 315364234329 420485645772 630728468658 946092702987 1261456937316 1892185405974 2838278108961 3784370811948 5676556217922 11353112435844