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102807658048 = 2623130753437
BaseRepresentation
bin101111110111111010…
…0000101111001000000
3100211100211202011000211
41133233310011321000
53141022230024143
6115121300523504
710266445450324
oct1375764057100
9324324664024
10102807658048
113a667274157
1217b120b0594
1399053bb574
144d93cb9984
152a1a98849d
hex17efd05e40

102807658048 has 56 divisors (see below), whose sum is σ = 213045763392. Its totient is φ = 49130340864.

The previous prime is 102807658039. The next prime is 102807658069. The reversal of 102807658048 is 840856708201.

It is a junction number, because it is equal to n+sod(n) for n = 102807657992 and 102807658010.

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, 1897186 + ... + 1950622.

It is an arithmetic number, because the mean of its divisors is an integer number (3804388632).

Almost surely, 2102807658048 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 102807658048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106522881696).

102807658048 is an abundant number, since it is smaller than the sum of its proper divisors (110238105344).

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

102807658048 is a wasteful number, since it uses less digits than its factorization.

102807658048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54779 (or 54769 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 49.

The spelling of 102807658048 in words is "one hundred two billion, eight hundred seven million, six hundred fifty-eight thousand, forty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 736 1307 1472 2614 5228 10456 20912 30061 41824 53437 60122 83648 106874 120244 213748 240488 427496 480976 854992 961952 1229051 1709984 1923904 2458102 3419968 4916204 9832408 19664816 39329632 69842159 78659264 139684318 279368636 558737272 1117474544 1606369657 2234949088 3212739314 4469898176 6425478628 12850957256 25701914512 51403829024 102807658048