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10890383449 = 1125321792
BaseRepresentation
bin10100010010001111…
…00001000001011001
31001002222011210121011
422021013201001121
5134300414232244
65000350413521
7533605506031
oct121107410131
931088153534
1010890383449
114689379300
12213b2012a1
1310472c799a
147544d88c1
1543b13a434
hex2891e1059

10890383449 has 27 divisors (see below), whose sum is σ = 12269080159. Its totient is φ = 9659283920.

The previous prime is 10890383431. The next prime is 10890383467. The reversal of 10890383449 is 94438309801.

The square root of 10890383449 is 104357.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (10890383431) and next prime (10890383467).

It can be written as a sum of positive squares in only one way, i.e., 7850846025 + 3039537424 = 88605^2 + 55132^2 .

It is not a de Polignac number, because 10890383449 - 231 = 8742899801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10890383849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 60840042 + ... + 60840220.

Almost surely, 210890383449 is an apocalyptic number.

10890383449 is the 104357-th square number.

10890383449 is the 52179-th centered octagonal number.

It is an amenable number.

10890383449 is a deficient number, since it is larger than the sum of its proper divisors (1378696710).

10890383449 is an frugal number, since it uses more digits than its factorization.

10890383449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

Multiplying 10890383449 by its sum of digits (49), we get a square (533628789001 = 7304992).

The spelling of 10890383449 in words is "ten billion, eight hundred ninety million, three hundred eighty-three thousand, four hundred forty-nine".

Divisors: 1 11 53 121 179 583 1969 2809 6413 9487 21659 30899 32041 104357 339889 352451 502811 1147927 1698173 3876961 5530921 18679903 60840131 90003169 205478933 990034859 10890383449