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129041064 = 23321792237
BaseRepresentation
bin1111011000100…
…00001010101000
322222210222001200
413230100022220
5231013303224
620445444200
73124555005
oct754201250
9288728050
10129041064
1166927509
1237270660
1320971179
14131d08ac
15b4de5c9
hex7b102a8

129041064 has 24 divisors (see below), whose sum is σ = 349486410. Its totient is φ = 43013664.

The previous prime is 129041041. The next prime is 129041093. The reversal of 129041064 is 460140921.

It can be written as a sum of positive squares in only one way, i.e., 117548964 + 11492100 = 10842^2 + 3390^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 896047 + ... + 896190.

Almost surely, 2129041064 is an apocalyptic number.

It is an amenable number.

129041064 is an abundant number, since it is smaller than the sum of its proper divisors (220445346).

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

129041064 is a wasteful number, since it uses less digits than its factorization.

129041064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792249 (or 1792242 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 129041064 is about 11359.6242895617. The cubic root of 129041064 is about 505.3310432773.

Adding to 129041064 its reverse (460140921), we get a palindrome (589181985).

The spelling of 129041064 in words is "one hundred twenty-nine million, forty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1792237 3584474 5376711 7168948 10753422 14337896 16130133 21506844 32260266 43013688 64520532 129041064