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103538826648 = 23329714825147
BaseRepresentation
bin110000001101101100…
…1010001110110011000
3100220020210120100210100
41200123121101312120
53144021414423043
6115322020215400
710323534335235
oct1403331216630
9326223510710
10103538826648
113aa01a71a24
1218096b3a560
1399c0a217ca
14502304878c
152a5ec65cd3
hex181b651d98

103538826648 has 48 divisors (see below), whose sum is σ = 283308578280. Its totient is φ = 34157136384.

The previous prime is 103538826647. The next prime is 103538826697. The reversal of 103538826648 is 846628835301.

103538826648 is a `hidden beast` number, since 1 + 0 + 3 + 538 + 8 + 2 + 66 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 103538826594 and 103538826603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103538826641) 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 11 ways as a sum of consecutive naturals, for example, 7405590 + ... + 7419557.

Almost surely, 2103538826648 is an apocalyptic number.

103538826648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

103538826648 is an abundant number, since it is smaller than the sum of its proper divisors (179769751632).

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

103538826648 is a wasteful number, since it uses less digits than its factorization.

103538826648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14825256 (or 14825249 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 103538826648 in words is "one hundred three billion, five hundred thirty-eight million, eight hundred twenty-six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 582 776 873 1164 1746 2328 3492 6984 14825147 29650294 44475441 59300588 88950882 118601176 133426323 177901764 266852646 355803528 533705292 1067410584 1438039259 2876078518 4314117777 5752157036 8628235554 11504314072 12942353331 17256471108 25884706662 34512942216 51769413324 103538826648