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204653997769 = 132172232892
BaseRepresentation
bin1011111010011001010…
…1000010111011001001
3201120020200121021020011
42332212111002323021
511323112410412034
6234003341231521
720533342164424
oct2764625027311
9646220537204
10204653997769
117987a934651
12337b62625a1
13163b6594400
149c962369bb
1554cbd31864
hex2fa6542ec9

204653997769 has 81 divisors (see below), whose sum is σ = 248886493023. Its totient is φ = 168157676544.

The previous prime is 204653997767. The next prime is 204653997799. The reversal of 204653997769 is 967799356402.

The square root of 204653997769 is 452387.

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

It can be written as a sum of positive squares in 13 ways, for example, as 179468307769 + 25185690000 = 423637^2 + 158700^2 .

It is not a de Polignac number, because 204653997769 - 21 = 204653997767 is a prime.

It is a super-2 number, since 2×2046539977692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (204653997763) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2299483077 + ... + 2299483165.

Almost surely, 2204653997769 is an apocalyptic number.

204653997769 is the 452387-th square number.

204653997769 is the 226194-th centered octagonal number.

It is an amenable number.

204653997769 is a deficient number, since it is larger than the sum of its proper divisors (44232495254).

204653997769 is an equidigital number, since it uses as much as digits as its factorization.

204653997769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 154314720, while the sum is 67.

The spelling of 204653997769 in words is "two hundred four billion, six hundred fifty-three million, nine hundred ninety-seven thousand, seven hundred sixty-nine".

Divisors: 1 13 17 23 89 169 221 289 299 391 529 1157 1513 2047 2873 3757 3887 5083 6647 6877 7921 8993 15041 19669 25721 26611 34799 47081 48841 66079 86411 89401 102973 116909 134657 152881 182183 255697 334373 345943 452387 591583 612053 800377 1123343 1338649 1519817 1750541 1987453 2289169 2368379 3097111 4190209 4346849 5881031 7690579 7956689 10404901 13606409 22757033 25836889 29759197 30788927 40262443 52650887 54472717 71233553 99977527 135263713 176883317 386869561 523411759 684461531 708145321 926036189 1210970401 2299483121 8897999903 12038470457 15742615213 204653997769