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5677622500 = 22541121372
BaseRepresentation
bin1010100100110100…
…11010010011100100
3112122200110002212211
411102122122103210
543111432410000
62335215053204
7260460665164
oct52232322344
915580402784
105677622500
112453962900
121125511204
136c6364654
143bc0925a4
152336a87ba
hex15269a4e4

5677622500 has 135 divisors (see below), whose sum is σ = 13747487677. Its totient is φ = 2049520000.

The previous prime is 5677622437. The next prime is 5677622521. The reversal of 5677622500 is 52267765.

The square root of 5677622500 is 75350.

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

It can be written as a sum of positive squares in 7 ways, for example, as 3923017956 + 1754604544 = 62634^2 + 41888^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 41442432 + ... + 41442568.

Almost surely, 25677622500 is an apocalyptic number.

5677622500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5677622500 is the 75350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5677622500

5677622500 is an abundant number, since it is smaller than the sum of its proper divisors (8069865177).

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

5677622500 is a wasteful number, since it uses less digits than its factorization.

5677622500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 40.

The cubic root of 5677622500 is about 1783.9753028849.

The spelling of 5677622500 in words is "five billion, six hundred seventy-seven million, six hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 125 137 220 242 250 274 275 484 500 548 550 605 625 685 1100 1210 1250 1370 1375 1507 2420 2500 2740 2750 3014 3025 3425 5500 6028 6050 6850 6875 7535 12100 13700 13750 15070 15125 16577 17125 18769 27500 30140 30250 33154 34250 37538 37675 60500 66308 68500 75076 75350 75625 82885 85625 93845 150700 151250 165770 171250 187690 188375 206459 302500 331540 342500 375380 376750 412918 414425 469225 753500 825836 828850 938450 941875 1032295 1657700 1876900 1883750 2064590 2072125 2271049 2346125 3767500 4129180 4144250 4542098 4692250 5161475 8288500 9084196 9384500 10322950 10360625 11355245 11730625 20645900 20721250 22710490 23461250 25807375 41442500 45420980 46922500 51614750 56776225 103229500 113552450 129036875 227104900 258073750 283881125 516147500 567762250 1135524500 1419405625 2838811250 5677622500