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102346049728 = 2613601204679
BaseRepresentation
bin101111101010001001…
…1001100100011000000
3100210011200011000110101
41133110103030203000
53134101042042403
6115003411012144
710252142032426
oct1372423144300
9323150130411
10102346049728
113a44a749a7a
1217a0359a054
139860888c50
144d4c879116
1529e01a571d
hex17d44cc8c0

102346049728 has 56 divisors (see below), whose sum is σ = 219080466080. Its totient is φ = 47157811200.

The previous prime is 102346049711. The next prime is 102346049753. The reversal of 102346049728 is 827940643201.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 397693 + ... + 602371.

It is an arithmetic number, because the mean of its divisors is an integer number (3912151180).

Almost surely, 2102346049728 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 102346049728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109540233040).

102346049728 is an abundant number, since it is smaller than the sum of its proper divisors (116734416352).

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

102346049728 is a wasteful number, since it uses less digits than its factorization.

102346049728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205305 (or 205295 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 102346049728 in words is "one hundred two billion, three hundred forty-six million, forty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 601 832 1202 2404 4808 7813 9616 15626 19232 31252 38464 62504 125008 204679 250016 409358 500032 818716 1637432 2660827 3274864 5321654 6549728 10643308 13099456 21286616 42573232 85146464 123012079 170292928 246024158 492048316 984096632 1599157027 1968193264 3198314054 3936386528 6396628108 7872773056 12793256216 25586512432 51173024864 102346049728