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55910967025 = 521941312
BaseRepresentation
bin110100000100100011…
…011010011011110001
312100022112100102000111
4310010203122123301
51404001201421100
641403554021321
74016345243524
oct640443323361
9170275312014
1055910967025
1121791313071
12aa04577841
135370564a54
1429c57a4bbb
1516c37926ba
hexd048da6f1

55910967025 has 45 divisors (see below), whose sum is σ = 73744113563. Its totient is φ = 42051157200.

The previous prime is 55910967017. The next prime is 55910967059. The reversal of 55910967025 is 52076901955.

The square root of 55910967025 is 236455.

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

It can be written as a sum of positive squares in only one way, i.e., 20127948129 + 35783018896 = 141873^2 + 189164^2 .

It is not a de Polignac number, because 55910967025 - 23 = 55910967017 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 55910967025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 426801210 + ... + 426801340.

Almost surely, 255910967025 is an apocalyptic number.

55910967025 is the 236455-th square number.

55910967025 is the 118228-th centered octagonal number.

It is an amenable number.

55910967025 is a deficient number, since it is larger than the sum of its proper divisors (17833146538).

55910967025 is an frugal number, since it uses more digits than its factorization.

55910967025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 850500, while the sum is 49.

Multiplying 55910967025 by its sum of digits (49), we get a square (2739637384225 = 16551852).

The spelling of 55910967025 in words is "fifty-five billion, nine hundred ten million, nine hundred sixty-seven thousand, twenty-five".

Divisors: 1 5 19 25 95 131 361 475 655 1805 2489 3275 6859 9025 12445 17161 34295 47291 62225 85805 130321 171475 236455 326059 429025 651605 898529 1182275 1630295 3258025 4492645 6195121 8151475 17072051 22463225 30975605 85360255 117707299 154878025 426801275 588536495 2236438681 2942682475 11182193405 55910967025