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111664363041 = 32711198480623
BaseRepresentation
bin110011111111110110…
…1101111011000100001
3101200020002012101020200
41213333231233120201
53312142034104131
6123144202455413
711032101265560
oct1477755573041
9350202171220
10111664363041
11433a1692760
1219784204569
13a6b72797ca
14559426dbd7
152d882ac2e6
hex19ffb6f621

111664363041 has 48 divisors (see below), whose sum is σ = 211676375040. Its totient is φ = 54954430560.

The previous prime is 111664363039. The next prime is 111664363067. The reversal of 111664363041 is 140363466111.

111664363041 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 643 + 6 + 3 + 0 + 4 + 1 = 666.

It is not a de Polignac number, because 111664363041 - 21 = 111664363039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111664362987 and 111664363005.

It is not an unprimeable number, because it can be changed into a prime (111664363021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4227145 + ... + 4253478.

It is an arithmetic number, because the mean of its divisors is an integer number (4409924480).

Almost surely, 2111664363041 is an apocalyptic number.

111664363041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111664363041 is a deficient number, since it is larger than the sum of its proper divisors (100012011999).

111664363041 is a wasteful number, since it uses less digits than its factorization.

111664363041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8480666 (or 8480663 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 111664363041 in words is "one hundred eleven billion, six hundred sixty-four million, three hundred sixty-three thousand, forty-one".

Divisors: 1 3 7 9 11 19 21 33 57 63 77 99 133 171 209 231 399 627 693 1197 1463 1881 4389 13167 8480623 25441869 59364361 76325607 93286853 161131837 178093083 279860559 483395511 534279249 653007971 839581677 1127922859 1450186533 1772450207 1959023913 3383768577 5317350621 5877071739 10151305731 12407151449 15952051863 37221454347 111664363041