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12834580268115 = 3356111313792393
BaseRepresentation
bin1011101011000100100010…
…0110010000010001010011
31200102222021222002110211000
42322301020212100101103
53140240210022034430
643144042541353043
72463160602154524
oct272611046202123
950388258073730
1012834580268115
1140a9129a67881
121533516b68783
137213ac930268
143252a87d084b
15173ccbed2e60
hexbac48990453

12834580268115 has 64 divisors (see below), whose sum is σ = 23396313790080. Its totient is φ = 6673310945280.

The previous prime is 12834580268101. The next prime is 12834580268183. The reversal of 12834580268115 is 51186208543821.

12834580268115 is a `hidden beast` number, since 1 + 2 + 8 + 34 + 580 + 26 + 8 + 1 + 1 + 5 = 666.

It is not a de Polignac number, because 12834580268115 - 27 = 12834580267987 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5965642 + ... + 7826751.

It is an arithmetic number, because the mean of its divisors is an integer number (365567402970).

Almost surely, 212834580268115 is an apocalyptic number.

12834580268115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12834580268115 is a deficient number, since it is larger than the sum of its proper divisors (10561733521965).

12834580268115 is a wasteful number, since it uses less digits than its factorization.

12834580268115 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13792581 (or 13792575 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 12834580268115 in words is "twelve trillion, eight hundred thirty-four billion, five hundred eighty million, two hundred sixty-eight thousand, one hundred fifteen".

Divisors: 1 3 5 9 15 27 45 61 113 135 183 305 339 549 565 915 1017 1647 1695 2745 3051 5085 6893 8235 15255 20679 34465 62037 103395 186111 310185 930555 13792393 41377179 68961965 124131537 206885895 372394611 620657685 841335973 1558540409 1861973055 2524007919 4206679865 4675621227 7572023757 7792702045 12620039595 14026863681 22716071271 23378106135 37860118785 42080591043 70134318405 95070964949 113580356355 210402955215 285212894847 475354824745 855638684541 1426064474235 2566916053623 4278193422705 12834580268115