Search a number
-
+
607285111225 = 521321926312
BaseRepresentation
bin10001101011001010000…
…00110110100110111001
32011001111202002001100111
420311211000312212321
534422204442024400
61142552151304321
761606043163232
oct10654500664671
92131452061314
10607285111225
11214603682481
129984267b0a1
134536104a400
142156da1a089
1510be47043ba
hex8d650369b9

607285111225 has 81 divisors (see below), whose sum is σ = 861956374509. Its totient is φ = 424180411200.

The previous prime is 607285111219. The next prime is 607285111241. The reversal of 607285111225 is 522111582706.

The square root of 607285111225 is 779285.

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 156528635769 + 450756475456 = 395637^2 + 671384^2 .

It is not a de Polignac number, because 607285111225 - 25 = 607285111193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 962416660 + ... + 962417290.

Almost surely, 2607285111225 is an apocalyptic number.

607285111225 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

607285111225 is the 779285-th square number.

607285111225 is the 389643-rd centered octagonal number.

It is an amenable number.

607285111225 is a deficient number, since it is larger than the sum of its proper divisors (254671263284).

607285111225 is an equidigital number, since it uses as much as digits as its factorization.

607285111225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 40.

The spelling of 607285111225 in words is "six hundred seven billion, two hundred eighty-five million, one hundred eleven thousand, two hundred twenty-five".

Divisors: 1 5 13 19 25 65 95 169 247 325 361 475 631 845 1235 1805 3155 3211 4225 4693 6175 8203 9025 11989 15775 16055 23465 41015 59945 61009 80275 106639 117325 155857 205075 227791 299725 305045 398161 533195 779285 1138955 1525225 1990805 2026141 2665975 2961283 3896425 5176093 5694775 7565059 9954025 10130705 14806415 25880465 37825295 38496679 50653525 67289209 74032075 98345767 129402325 143736121 189126475 192483395 336446045 491728835 718680605 962416975 1278494971 1682230225 1868569573 2458644175 3593403025 6392474855 9342847865 24291404449 31962374275 46714239325 121457022245 607285111225