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12315348728505 = 325388170516469
BaseRepresentation
bin1011001100110110001111…
…1111000111101010111001
31121121100001211100022210200
42303031203333013222321
53103233313233303010
642105332035432413
72410516551664434
oct263154377075271
947540054308720
1012315348728505
113a18a01329a99
12146a969455709
136b4442396a64
143080cd3a081b
1516553cd2acc0
hexb3363fc7ab9

12315348728505 has 24 divisors (see below), whose sum is σ = 21352105050120. Its totient is φ = 6566493500160.

The previous prime is 12315348728489. The next prime is 12315348728563. The reversal of 12315348728505 is 50582784351321.

12315348728505 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 5 + 34 + 87 + 28 + 505 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1045013463081 + 11270335265424 = 1022259^2 + 3357132^2 .

It is not a de Polignac number, because 12315348728505 - 24 = 12315348728489 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35083590 + ... + 35432879.

It is an arithmetic number, because the mean of its divisors is an integer number (889671043755).

Almost surely, 212315348728505 is an apocalyptic number.

12315348728505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12315348728505 is a deficient number, since it is larger than the sum of its proper divisors (9036756321615).

12315348728505 is a wasteful number, since it uses less digits than its factorization.

12315348728505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70520361 (or 70520358 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 12315348728505 in words is "twelve trillion, three hundred fifteen billion, three hundred forty-eight million, seven hundred twenty-eight thousand, five hundred five".

Divisors: 1 3 5 9 15 45 3881 11643 19405 34929 58215 174645 70516469 211549407 352582345 634648221 1057747035 3173241105 273674416189 821023248567 1368372080945 2463069745701 4105116242835 12315348728505