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10134244064 = 25750239007
BaseRepresentation
bin10010111000000110…
…00100101011100000
3222011021100221100202
421130003010223200
5131223331302224
64353340004332
7506064440030
oct113403045340
928137327322
1010134244064
11433057561a
121b69b306a8
13c56760929
146c1d098c0
153e4a78eae
hex25c0c4ae0

10134244064 has 48 divisors (see below), whose sum is σ = 22809120768. Its totient is φ = 4341900672.

The previous prime is 10134244063. The next prime is 10134244067. The reversal of 10134244064 is 46044243101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10134244063) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1120649 + ... + 1129655.

It is an arithmetic number, because the mean of its divisors is an integer number (475190016).

Almost surely, 210134244064 is an apocalyptic number.

10134244064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10134244064 is an abundant number, since it is smaller than the sum of its proper divisors (12674876704).

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

10134244064 is an equidigital number, since it uses as much as digits as its factorization.

10134244064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14047 (or 14039 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 10134244064 its reverse (46044243101), we get a palindrome (56178487165).

The spelling of 10134244064 in words is "ten billion, one hundred thirty-four million, two hundred forty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 5023 9007 10046 18014 20092 35161 36028 40184 63049 70322 72056 80368 126098 140644 144112 160736 252196 281288 288224 504392 562576 1008784 1125152 2017568 45242161 90484322 180968644 316695127 361937288 633390254 723874576 1266780508 1447749152 2533561016 5067122032 10134244064