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11137720766 = 241433479103
BaseRepresentation
bin10100101111101110…
…00010000110111110
31001202012120211121112
422113313002012332
5140302224031031
65041104002022
7543001031054
oct122767020676
931665524545
1011137720766
1147a5a53507
1221aa000312
131086617423
147792c01d4
15452be562b
hex297dc21be

11137720766 has 32 divisors (see below), whose sum is σ = 17564456448. Its totient is φ = 5290810560.

The previous prime is 11137720747. The next prime is 11137720817. The reversal of 11137720766 is 66702773111.

It is a super-2 number, since 2×111377207662 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Curzon number.

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, 1218971 + ... + 1228073.

It is an arithmetic number, because the mean of its divisors is an integer number (548889264).

Almost surely, 211137720766 is an apocalyptic number.

11137720766 is a deficient number, since it is larger than the sum of its proper divisors (6426735682).

11137720766 is a wasteful number, since it uses less digits than its factorization.

11137720766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9536.

The product of its (nonzero) digits is 74088, while the sum is 41.

The spelling of 11137720766 in words is "eleven billion, one hundred thirty-seven million, seven hundred twenty thousand, seven hundred sixty-six".

Divisors: 1 2 41 43 82 86 347 694 1763 3526 9103 14227 14921 18206 28454 29842 373223 391429 611761 746446 782858 1223522 3158741 6317482 16048589 32097178 129508381 135825863 259016762 271651726 5568860383 11137720766