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75644251225 = 526728212
BaseRepresentation
bin100011001110010111…
…1111010110001011001
321020020210000002222021
41012130233322301121
52214404412014400
654430034454441
75315351345404
oct1063457726131
9236223002867
1075644251225
112a098231604
12127b1134421
1371968c668a
14393849cd3b
151e7adc671a
hex119cbfac59

75644251225 has 27 divisors (see below), whose sum is σ = 95335871421. Its totient is φ = 59539576800.

The previous prime is 75644251183. The next prime is 75644251231. The reversal of 75644251225 is 52215244657.

The square root of 75644251225 is 275035.

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 10276079641 + 65368171584 = 101371^2 + 255672^2 .

It is a de Polignac number, because none of the positive numbers 2k-75644251225 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 92136315 + ... + 92137135.

Almost surely, 275644251225 is an apocalyptic number.

75644251225 is the 275035-th square number.

75644251225 is the 137518-th centered octagonal number.

It is an amenable number.

75644251225 is a deficient number, since it is larger than the sum of its proper divisors (19691620196).

75644251225 is an frugal number, since it uses more digits than its factorization.

75644251225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 893 counting only the distinct ones).

The product of its digits is 672000, while the sum is 43.

The spelling of 75644251225 in words is "seventy-five billion, six hundred forty-four million, two hundred fifty-one thousand, two hundred twenty-five".

Divisors: 1 5 25 67 335 821 1675 4105 4489 20525 22445 55007 112225 275035 674041 1375175 3370205 3685469 16851025 18427345 45160747 92136725 225803735 1129018675 3025770049 15128850245 75644251225