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11990833023456 = 253278217244621
BaseRepresentation
bin1010111001111101010101…
…0101111100100111100000
31120110022102202210110000200
42232133111111330213200
53032424211223222311
641300302421545200
72345211010004250
oct256372525744740
946408382713020
1011990833023456
113903313706731
121417aa1875200
1368c966478501
142d650633d960
1515bd9825e556
hexae7d557c9e0

11990833023456 has 144 divisors (see below), whose sum is σ = 39017679468768. Its totient is φ = 3421778918400.

The previous prime is 11990833023413. The next prime is 11990833023503. The reversal of 11990833023456 is 65432033809911.

11990833023456 is a `hidden beast` number, since 1 + 1 + 9 + 90 + 83 + 3 + 0 + 23 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1967175 + ... + 5277446.

It is an arithmetic number, because the mean of its divisors is an integer number (270956107422).

Almost surely, 211990833023456 is an apocalyptic number.

11990833023456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11990833023456 is an abundant number, since it is smaller than the sum of its proper divisors (27026846445312).

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

11990833023456 is a wasteful number, since it uses less digits than its factorization.

11990833023456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7245465 (or 7245454 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 11990833023456 in words is "eleven trillion, nine hundred ninety billion, eight hundred thirty-three million, twenty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 821 1008 1642 2016 2463 3284 4926 5747 6568 7389 9852 11494 13136 14778 17241 19704 22988 26272 29556 34482 39408 45976 51723 59112 68964 78816 91952 103446 118224 137928 183904 206892 236448 275856 413784 551712 827568 1655136 7244621 14489242 21733863 28978484 43467726 50712347 57956968 65201589 86935452 101424694 115913936 130403178 152137041 173870904 202849388 231827872 260806356 304274082 347741808 405698776 456411123 521612712 608548164 695483616 811397552 912822246 1043225424 1217096328 1622795104 1825644492 2086450848 2434192656 3651288984 4868385312 5947833841 7302577968 11895667682 14605155936 17843501523 23791335364 35687003046 41634836887 47582670728 53530504569 71374006092 83269673774 95165341456 107061009138 124904510661 142748012184 166539347548 190330682912 214122018276 249809021322 285496024368 333078695096 374713531983 428244036552 499618042644 570992048736 666157390192 749427063966 856488073104 999236085288 1332314780384 1498854127932 1712976146208 1998472170576 2997708255864 3996944341152 5995416511728 11990833023456