Search a number
-
+
55566275625 = 3254724492
BaseRepresentation
bin110011110000000000…
…100001010000101001
312022102111202021022100
4303300000201100221
51402244431310000
641305442044013
74004661356400
oct636000412051
9168374667270
1055566275625
1121624794343
12a929049609
135317019c43
142991aba637
1516a33a6a00
hexcf0021429

55566275625 has 135 divisors (see below), whose sum is σ = 116931156771. Its totient is φ = 25345152000.

The previous prime is 55566275623. The next prime is 55566275627. The reversal of 55566275625 is 52657266555.

The square root of 55566275625 is 235725.

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

55566275625 is a `hidden beast` number, since 5 + 5 + 5 + 6 + 6 + 2 + 7 + 5 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (55566275623) and next prime (55566275627).

It can be written as a sum of positive squares in 7 ways, for example, as 37139842089 + 18426433536 = 192717^2 + 135744^2 .

It is not a de Polignac number, because 55566275625 - 21 = 55566275623 is a prime.

It is a super-2 number, since 2×555662756252 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55566275623) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 123755401 + ... + 123755849.

Almost surely, 255566275625 is an apocalyptic number.

55566275625 is the 235725-th square number.

55566275625 is the 117863-rd centered octagonal number.

It is an amenable number.

55566275625 is an abundant number, since it is smaller than the sum of its proper divisors (61364881146).

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

55566275625 is an frugal number, since it uses more digits than its factorization.

55566275625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 464 counting only the distinct ones).

The product of its digits is 18900000, while the sum is 54.

The spelling of 55566275625 in words is "fifty-five billion, five hundred sixty-six million, two hundred seventy-five thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 125 147 175 225 245 315 375 441 449 525 625 735 875 1125 1225 1347 1575 1875 2205 2245 2625 3143 3675 4041 4375 5625 6125 6735 7875 9429 11025 11225 13125 15715 18375 20205 22001 28287 30625 33675 39375 47145 55125 56125 66003 78575 91875 101025 110005 141435 168375 198009 201601 235725 275625 280625 330015 392875 505125 550025 604803 707175 841875 990045 1008005 1178625 1411207 1650075 1814409 1964375 2525625 2750125 3024015 3535875 4233621 4950225 5040025 5893125 7056035 8250375 9072045 9878449 12700863 13750625 15120075 17679375 21168105 24751125 25200125 29635347 35280175 41251875 45360225 49392245 63504315 75600375 88906041 105840525 123755625 126000625 148176735 176400875 226801125 246961225 317521575 378001875 444530205 529202625 740883675 882004375 1134005625 1234806125 1587607875 2222651025 2646013125 3704418375 6174030625 7938039375 11113255125 18522091875 55566275625