Search a number
-
+
11036331974256 = 2434991279360257
BaseRepresentation
bin1010000010011001100010…
…1001011001111001110000
31110002001200221200012102120
42200212120221121321300
52421304401441134011
635250004303514240
72216230410650451
oct240463051317160
943061627605376
1011036331974256
113575533756a16
1212a2ab92b8980
1362094c599484
142a2238927128
15142131143a06
hexa0998a59e70

11036331974256 has 80 divisors (see below), whose sum is σ = 28590074880000. Its totient is φ = 3668524314624.

The previous prime is 11036331974231. The next prime is 11036331974273. The reversal of 11036331974256 is 65247913363011.

It is a super-3 number, since 3×110363319742563 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11036331974199 and 11036331974208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30454480 + ... + 30814736.

It is an arithmetic number, because the mean of its divisors is an integer number (357375936000).

Almost surely, 211036331974256 is an apocalyptic number.

11036331974256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11036331974256 is an abundant number, since it is smaller than the sum of its proper divisors (17553742905744).

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

11036331974256 is a wasteful number, since it uses less digits than its factorization.

11036331974256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362046 (or 362040 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 51.

The spelling of 11036331974256 in words is "eleven trillion, thirty-six billion, three hundred thirty-one million, nine hundred seventy-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 499 998 1279 1497 1996 2558 2994 3837 3992 5116 5988 7674 7984 10232 11976 15348 20464 23952 30696 61392 360257 638221 720514 1080771 1276442 1441028 1914663 2161542 2552884 2882056 3829326 4323084 5105768 5764112 7658652 8646168 10211536 15317304 17292336 30634608 179768243 359536486 460768703 539304729 719072972 921537406 1078609458 1382306109 1438145944 1843074812 2157218916 2764612218 2876291888 3686149624 4314437832 5529224436 7372299248 8628875664 11058448872 22116897744 229923582797 459847165594 689770748391 919694331188 1379541496782 1839388662376 2759082993564 3678777324752 5518165987128 11036331974256