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129112064 = 211232741
BaseRepresentation
bin1111011001000…
…01100000000000
322222221120110022
413230201200000
5231023041224
620451153012
73125302004
oct754414000
9288846408
10129112064
1166975894
12372a5768
1320997593
141320c704
15b50565e
hex7b21800

129112064 has 48 divisors (see below), whose sum is σ = 269483760. Its totient is φ = 61726720.

The previous prime is 129112007. The next prime is 129112079. The reversal of 129112064 is 460211921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45734 + ... + 48474.

It is an arithmetic number, because the mean of its divisors is an integer number (5614245).

Almost surely, 2129112064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129112064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134741880).

129112064 is an abundant number, since it is smaller than the sum of its proper divisors (140371696).

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

129112064 is an equidigital number, since it uses as much as digits as its factorization.

129112064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 129112064 is about 11362.7489631691. The cubic root of 129112064 is about 505.4237060952.

Adding to 129112064 its reverse (460211921), we get a palindrome (589323985).

The spelling of 129112064 in words is "one hundred twenty-nine million, one hundred twelve thousand, sixty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 736 1024 1472 2048 2741 2944 5482 5888 10964 11776 21928 23552 43856 47104 63043 87712 126086 175424 252172 350848 504344 701696 1008688 1403392 2017376 2806784 4034752 5613568 8069504 16139008 32278016 64556032 129112064