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127713319936 = 210294300691
BaseRepresentation
bin111011011110001001…
…1101001110000000000
3110012122120010212021121
41312330103221300000
54043024102214221
6134400511402024
712140566210426
oct1667423516000
9405576125247
10127713319936
114a1879265a4
1220902b23314
13c0742143c7
146277907116
1534c7223a41
hex1dbc4e9c00

127713319936 has 44 divisors (see below), whose sum is σ = 264105495720. Its totient is φ = 61654691840.

The previous prime is 127713319931. The next prime is 127713319967. The reversal of 127713319936 is 639913317721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127713319931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2120650 + ... + 2180041.

It is an arithmetic number, because the mean of its divisors is an integer number (6002397630).

Almost surely, 2127713319936 is an apocalyptic number.

127713319936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

127713319936 is an abundant number, since it is smaller than the sum of its proper divisors (136392175784).

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

127713319936 is an equidigital number, since it uses as much as digits as its factorization.

127713319936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4300740 (or 4300722 counting only the distinct ones).

The product of its digits is 1285956, while the sum is 52.

The spelling of 127713319936 in words is "one hundred twenty-seven billion, seven hundred thirteen million, three hundred nineteen thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1024 1856 3712 7424 14848 29696 4300691 8601382 17202764 34405528 68811056 124720039 137622112 249440078 275244224 498880156 550488448 997760312 1100976896 1995520624 2201953792 3991041248 4403907584 7982082496 15964164992 31928329984 63856659968 127713319936