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103827942449 = 7211217511881
BaseRepresentation
bin110000010110010100…
…0001010110000110001
3100220222221120222002222
41200230220022300301
53200114423124244
6115410425050425
710333644643400
oct1405450126061
9326887528088
10103827942449
1140040191a00
1218157926a15
139a388ab44a
14504d5c7637
152a7a324bee
hex182ca0ac31

103827942449 has 18 divisors (see below), whose sum is σ = 132757577442. Its totient is φ = 80904885600.

The previous prime is 103827942443. The next prime is 103827942451. The reversal of 103827942449 is 944249728301.

It can be written as a sum of positive squares in only one way, i.e., 96770766400 + 7057176049 = 311080^2 + 84007^2 .

It is not a de Polignac number, because 103827942449 - 212 = 103827938353 is a prime.

It is a super-2 number, since 2×1038279424492 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103827942449.

It is not an unprimeable number, because it can be changed into a prime (103827942443) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8750012 + ... + 8761869.

It is an arithmetic number, because the mean of its divisors is an integer number (7375420969).

Almost surely, 2103827942449 is an apocalyptic number.

It is an amenable number.

103827942449 is a deficient number, since it is larger than the sum of its proper divisors (28929634993).

103827942449 is a wasteful number, since it uses less digits than its factorization.

103827942449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17511917 (or 17511899 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 53.

The spelling of 103827942449 in words is "one hundred three billion, eight hundred twenty-seven million, nine hundred forty-two thousand, four hundred forty-nine".

Divisors: 1 7 11 49 77 121 539 847 5929 17511881 122583167 192630691 858082169 1348414837 2118937601 9438903859 14832563207 103827942449