Search a number
-
+
56625555222225 = 325211217591182439
BaseRepresentation
bin11001110000000001010100…
…00110101010111011010001
321102111100110022012200001100
430320000222012222323101
524410223114114102400
6320233230531455013
714633030021533353
oct1470005206527321
9242440408180040
1056625555222225
1117051843774800
1264264b3a57469
1325799c7c94c32
14dda9976730d3
15682e6225d100
hex33802a1aaed1

56625555222225 has 108 divisors (see below), whose sum is σ = 111544578745600. Its totient is φ = 27439183252800.

The previous prime is 56625555222211. The next prime is 56625555222263. The reversal of 56625555222225 is 52222255552665.

56625555222225 is a `hidden beast` number, since 5 + 6 + 6 + 25 + 55 + 522 + 22 + 25 = 666.

56625555222225 is a nontrivial binomial coefficient, being equal to C(10641951, 2).

It is not a de Polignac number, because 56625555222225 - 24 = 56625555222209 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 47297556 + ... + 48479994.

Almost surely, 256625555222225 is an apocalyptic number.

56625555222225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

56625555222225 is the 10641950-th triangular number.

It is an amenable number.

56625555222225 is a deficient number, since it is larger than the sum of its proper divisors (54919023523375).

56625555222225 is a wasteful number, since it uses less digits than its factorization.

56625555222225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184236 (or 1184217 counting only the distinct ones).

The product of its digits is 36000000, while the sum is 54.

The spelling of 56625555222225 in words is "fifty-six trillion, six hundred twenty-five billion, five hundred fifty-five million, two hundred twenty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 165 225 275 363 495 605 825 1089 1759 1815 2475 3025 5277 5445 8795 9075 15831 19349 26385 27225 43975 58047 79155 96745 131925 174141 212839 290235 395775 483725 638517 870705 1064195 1182439 1451175 1915551 3192585 3547317 4353525 5320975 5912195 9577755 10641951 13006829 15962925 17736585 29560975 39020487 47888775 53209755 65034145 88682925 117061461 143075119 195102435 266048775 325170725 429225357 585307305 715375595 975512175 1287676071 2079910201 2146126785 2926536525 3576877975 6239730603 6438380355 10399551005 10730633925 18719191809 22879012211 31198653015 32191901775 51997755025 68637036633 93595959045 114395061055 155993265075 205911109899 251669134321 343185183165 467979795225 571975305275 755007402963 1029555549495 1258345671605 1715925915825 2265022208889 3775037014815 5147777747475 6291728358025 11325111044445 18875185074075 56625555222225