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12002726216688 = 2431609155411309
BaseRepresentation
bin1010111010101001101000…
…1110111000001111110000
31120111110010121221021000220
42232222122032320033300
53033123040402413223
641305550514213040
72346111513326064
oct256523216701760
946443117837026
1012002726216688
113908367047849
12141a260884180
13690b1045525c
142d6d13ab7aa4
1515c3424336e3
hexaea9a3b83f0

12002726216688 has 40 divisors (see below), whose sum is σ = 31026313928400. Its totient is φ = 3998422132224.

The previous prime is 12002726216633. The next prime is 12002726216699. The reversal of 12002726216688 is 88661262720021.

It is a self number, because there is not a number n which added to its sum of digits gives 12002726216688.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77628423 + ... + 77782886.

It is an arithmetic number, because the mean of its divisors is an integer number (775657848210).

Almost surely, 212002726216688 is an apocalyptic number.

It is an amenable number.

12002726216688 is an abundant number, since it is smaller than the sum of its proper divisors (19023587711712).

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

12002726216688 is a wasteful number, since it uses less digits than its factorization.

12002726216688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155412929 (or 155412923 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 12002726216688 in words is "twelve trillion, two billion, seven hundred twenty-six million, two hundred sixteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 1609 3218 4827 6436 9654 12872 19308 25744 38616 77232 155411309 310822618 466233927 621645236 932467854 1243290472 1864935708 2486580944 3729871416 7459742832 250056796181 500113592362 750170388543 1000227184724 1500340777086 2000454369448 3000681554172 4000908738896 6001363108344 12002726216688