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40669024209529 = 172312121012
BaseRepresentation
bin10010011111100111111101…
…01111011100101001111001
312022222220212020000012210111
421033303332233130221321
520312310130144201104
6222255031454544321
711365145222021152
oct1117637657345171
9168886766005714
1040669024209529
1111a5a6aaa21931
124689b19b080a1
1319900c345a8b1
14a0856992a929
154a7d6469c404
hex24fcfebdca79

40669024209529 has 27 divisors (see below), whose sum is σ = 44644301915853. Its totient is φ = 37038934416000.

The previous prime is 40669024209503. The next prime is 40669024209599. The reversal of 40669024209529 is 92590242096604.

The square root of 40669024209529 is 6377227.

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

It can be written as a sum of positive squares in 4 ways, for example, as 31041333675625 + 9627690533904 = 5571475^2 + 3102852^2 .

It is not a de Polignac number, because 40669024209529 - 215 = 40669024176761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40669024209599) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3360792579 + ... + 3360804679.

Almost surely, 240669024209529 is an apocalyptic number.

40669024209529 is the 6377227-th square number.

40669024209529 is the 3188614-th centered octagonal number.

It is an amenable number.

40669024209529 is a deficient number, since it is larger than the sum of its proper divisors (3975277706324).

40669024209529 is an frugal number, since it uses more digits than its factorization.

40669024209529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24298 (or 12149 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 58.

The spelling of 40669024209529 in words is "forty trillion, six hundred sixty-nine billion, twenty-four million, two hundred nine thousand, five hundred twenty-nine".

Divisors: 1 17 31 289 527 961 8959 12101 16337 205717 277729 375131 3497189 6377227 11629061 108412859 146434201 197694037 2489381417 3360798629 4539460231 42319484089 77170823927 140723267161 1311904006759 2392295541737 40669024209529