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11709090450 = 2325251012
BaseRepresentation
bin10101110011110101…
…01000101010010010
31010020000201102110200
422321322220222102
5142440011343300
65213514240030
7563106424641
oct127172505222
933200642420
1011709090450
114a69526a62
122329426016
131147aca5b5
147d1133358
15487e5a200
hex2b9ea8a92

11709090450 has 54 divisors (see below), whose sum is σ = 31464591327. Its totient is φ = 3121812000.

The previous prime is 11709090413. The next prime is 11709090467. The reversal of 11709090450 is 5409090711.

11709090450 is a `hidden beast` number, since 117 + 0 + 9 + 0 + 90 + 450 = 666.

11709090450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 173686041 + 11535404409 = 13179^2 + 107403^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=76515.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 2292900 + ... + 2298000.

Almost surely, 211709090450 is an apocalyptic number.

11709090450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11709090450 is an abundant number, since it is smaller than the sum of its proper divisors (19755500877).

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

11709090450 is an frugal number, since it uses more digits than its factorization.

11709090450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10220 (or 5111 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 11709090450 in words is "eleven billion, seven hundred nine million, ninety thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 5101 10202 15303 25505 30606 45909 51010 76515 91818 127525 153030 229545 255050 382575 459090 765150 1147725 2295450 26020201 52040402 78060603 130101005 156121206 234181809 260202010 390303015 468363618 650505025 780606030 1170909045 1301010050 1951515075 2341818090 3903030150 5854545225 11709090450