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12602097728 = 261121627337
BaseRepresentation
bin10111011110010010…
…01100000001000000
31012112021001220011022
423233021030001000
5201302114111403
65442254405012
7624202030463
oct135711140100
935467056138
1012602097728
115387612600
122538500768
13125ab1617c
1487798d2da
154db554d38
hex2ef24c040

12602097728 has 42 divisors (see below), whose sum is σ = 27487366158. Its totient is φ = 5728222720.

The previous prime is 12602097691. The next prime is 12602097779. The reversal of 12602097728 is 82779020621.

It can be written as a sum of positive squares in only one way, i.e., 11507281984 + 1094815744 = 107272^2 + 33088^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 805925 + ... + 821412.

It is an arithmetic number, because the mean of its divisors is an integer number (654461099).

Almost surely, 212602097728 is an apocalyptic number.

It is an amenable number.

12602097728 is an abundant number, since it is smaller than the sum of its proper divisors (14885268430).

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

12602097728 is a wasteful number, since it uses less digits than its factorization.

12602097728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627371 (or 1627350 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 44.

The spelling of 12602097728 in words is "twelve billion, six hundred two million, ninety-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 1627337 3254674 6509348 13018696 17900707 26037392 35801414 52074784 71602828 104149568 143205656 196907777 286411312 393815554 572822624 787631108 1145645248 1575262216 3150524432 6301048864 12602097728