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10326807196225 = 5213438032
BaseRepresentation
bin1001011001000110010110…
…1011001011001001000001
31100120020021221121221112221
42112101211223023021001
52323143300120234400
633544023021251041
72114041623566662
oct226214553131101
940506257557487
1010326807196225
113321635496643
1211a94a2a03a81
1359ba76a30000
14279b6a645369
1512d955c9ec1a
hex96465acb241

10326807196225 has 45 divisors (see below), whose sum is σ = 13875955657823. Its totient is φ = 7623944683680.

The previous prime is 10326807196213. The next prime is 10326807196249. The reversal of 10326807196225 is 52269170862301.

The square root of 10326807196225 is 3213535.

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 10132195638321 + 194611557904 = 3183111^2 + 441148^2 .

It is not a de Polignac number, because 10326807196225 - 233 = 10318217261633 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2715435174 + ... + 2715438976.

Almost surely, 210326807196225 is an apocalyptic number.

10326807196225 is the 3213535-th square number.

10326807196225 is the 1606768-th centered octagonal number.

It is an amenable number.

10326807196225 is a deficient number, since it is larger than the sum of its proper divisors (3549148461598).

10326807196225 is an frugal number, since it uses more digits than its factorization.

10326807196225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7668 (or 3821 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 10326807196225 in words is "ten trillion, three hundred twenty-six billion, eight hundred seven million, one hundred ninety-six thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 169 325 845 2197 3803 4225 10985 19015 28561 49439 54925 95075 142805 247195 642707 714025 1235975 3213535 8355191 14462809 16067675 41775955 72314045 108617483 188016517 208879775 361570225 543087415 940082585 2444214721 2715437075 4700412925 12221073605 31774791373 61105368025 158873956865 413072287849 794369784325 2065361439245 10326807196225