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59968663225 = 52172432672
BaseRepresentation
bin110111110110011010…
…010010111010111001
312201210022121201202221
4313312122102322321
51440303434210400
643314344324041
74222036140562
oct676632227271
9181708551687
1059968663225
11234838242a9
12b757473621
135869107913
142c8c657169
15185eb12c1a
hexdf6692eb9

59968663225 has 81 divisors (see below), whose sum is σ = 82097458317. Its totient is φ = 43444558080.

The previous prime is 59968663219. The next prime is 59968663291. The reversal of 59968663225 is 52236686995.

The square root of 59968663225 is 244885.

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 1402727209 + 58565936016 = 37453^2 + 242004^2 .

It is not a de Polignac number, because 59968663225 - 29 = 59968662713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 895054642 + ... + 895054708.

Almost surely, 259968663225 is an apocalyptic number.

59968663225 is the 244885-th square number.

59968663225 is the 122443-rd centered octagonal number.

It is an amenable number.

59968663225 is a deficient number, since it is larger than the sum of its proper divisors (22128795092).

59968663225 is an equidigital number, since it uses as much as digits as its factorization.

59968663225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 132 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 61.

The spelling of 59968663225 in words is "fifty-nine billion, nine hundred sixty-eight million, six hundred sixty-three thousand, two hundred twenty-five".

Divisors: 1 5 17 25 43 67 85 215 289 335 425 731 1075 1139 1445 1675 1849 2881 3655 4489 5695 7225 9245 12427 14405 18275 19363 22445 28475 31433 46225 48977 62135 72025 76313 96815 112225 123883 157165 193027 244885 310675 381565 484075 534361 619415 785825 832609 965135 1224425 1297321 1907825 2106011 2671805 3097075 3281459 4163045 4825675 6486605 8300161 10530055 13359025 16407295 20815225 32433025 35802187 41500805 52650275 55784803 82036475 141102737 179010935 207504025 278924015 705513685 895054675 1394620075 2398746529 3527568425 11993732645 59968663225