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12659129064 = 233419535693
BaseRepresentation
bin10111100101000101…
…01111101011101000
31012200020101101110000
423302202233223220
5201411214112224
65452053023000
7625463551551
oct136242575350
935606341400
1012659129064
11540682603a
122553624a60
131269893b1a
14881397328
154e156d0c9
hex2f28afae8

12659129064 has 40 divisors (see below), whose sum is σ = 35457284610. Its totient is φ = 4219709472.

The previous prime is 12659129057. The next prime is 12659129081. The reversal of 12659129064 is 46092195621.

It can be written as a sum of positive squares in only one way, i.e., 9733400964 + 2925728100 = 98658^2 + 54090^2 .

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 9767199 + ... + 9768494.

Almost surely, 212659129064 is an apocalyptic number.

It is an amenable number.

12659129064 is an abundant number, since it is smaller than the sum of its proper divisors (22798155546).

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

12659129064 is a wasteful number, since it uses less digits than its factorization.

12659129064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19535711 (or 19535698 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 12659129064 in words is "twelve billion, six hundred fifty-nine million, one hundred twenty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 19535693 39071386 58607079 78142772 117214158 156285544 175821237 234428316 351642474 468856632 527463711 703284948 1054927422 1406569896 1582391133 2109854844 3164782266 4219709688 6329564532 12659129064