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103825690880 = 28581113821
BaseRepresentation
bin110000010110001111…
…1100101000100000000
3100220222210100120112112
41200230133211010000
53200113334102010
6115410304514452
710333616545142
oct1405437450400
9326883316475
10103825690880
11400399942aa
121815701ba28
139a382a0662
14504d19cc92
152a7a02ca05
hex182c7e5100

103825690880 has 36 divisors (see below), whose sum is σ = 248694978252. Its totient is φ = 41530275840.

The previous prime is 103825690867. The next prime is 103825690883. The reversal of 103825690880 is 88096528301.

It can be written as a sum of positive squares in 2 ways, for example, as 56468967424 + 47356723456 = 237632^2 + 217616^2 .

It is not an unprimeable number, because it can be changed into a prime (103825690883) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40555631 + ... + 40558190.

Almost surely, 2103825690880 is an apocalyptic number.

103825690880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103825690880 is an abundant number, since it is smaller than the sum of its proper divisors (144869287372).

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

103825690880 is an frugal number, since it uses more digits than its factorization.

103825690880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81113842 (or 81113828 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 50.

The spelling of 103825690880 in words is "one hundred three billion, eight hundred twenty-five million, six hundred ninety thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 81113821 162227642 324455284 405569105 648910568 811138210 1297821136 1622276420 2595642272 3244552840 5191284544 6489105680 10382569088 12978211360 20765138176 25956422720 51912845440 103825690880