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2211660138681 = 327743175326953
BaseRepresentation
bin100000001011110001001…
…101111000100010111001
321211102200101201221201200
4200023301031320202321
5242213434443414211
64412004520204413
7315533666666340
oct40136115704271
97742611657650
102211660138681
11782a61543834
122b8774609709
131307354a1896
147908b3a0b57
153c7e4e3cb56
hex202f13788b9

2211660138681 has 48 divisors (see below), whose sum is σ = 3658129602816. Its totient is φ = 1261338075648.

The previous prime is 2211660138679. The next prime is 2211660138703. The reversal of 2211660138681 is 1868310661122.

2211660138681 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 6 + 601 + 38 + 6 + 8 + 1 = 666.

It is not a de Polignac number, because 2211660138681 - 21 = 2211660138679 is a prime.

It is a super-2 number, since 2×22116601386812 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2211660134681) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 82042701 + ... + 82069653.

It is an arithmetic number, because the mean of its divisors is an integer number (76211033392).

Almost surely, 22211660138681 is an apocalyptic number.

2211660138681 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2211660138681 is a deficient number, since it is larger than the sum of its proper divisors (1446469464135).

2211660138681 is a wasteful number, since it uses less digits than its factorization.

2211660138681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29462 (or 29459 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 2211660138681 in words is "two trillion, two hundred eleven billion, six hundred sixty million, one hundred thirty-eight thousand, six hundred eighty-one".

Divisors: 1 3 7 9 21 63 743 1753 2229 5201 5259 6687 12271 15603 15777 26953 36813 46809 80859 110439 188671 242577 566013 1302479 1698039 3907437 9117353 11722311 20026079 27352059 47248609 60078237 82056177 140182553 141745827 180234711 330740263 420547659 425237481 992220789 1261642977 2976662367 35105716487 105317149461 245740015409 315951448383 737220046227 2211660138681