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9590077336225 = 5266129372
BaseRepresentation
bin1000101110001101110100…
…1001110010101010100001
31020221210122222102100001211
42023203131021302222201
52224110434244224400
632221342023430121
72006601025241341
oct213433511625241
936853588370054
109590077336225
113068146709551
1210aa7555b5341
13547456b697c9
1425223b1b8d21
151196d7365dba
hex8b8dd272aa1

9590077336225 has 27 divisors (see below), whose sum is σ = 11922437615211. Its totient is φ = 7652279606400.

The previous prime is 9590077336223. The next prime is 9590077336243. The reversal of 9590077336225 is 5226337700959.

The square root of 9590077336225 is 3096785.

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

It can be written as a sum of positive squares in 13 ways, for example, as 8108637819489 + 1481439516736 = 2847567^2 + 1217144^2 .

It is not a de Polignac number, because 9590077336225 - 21 = 9590077336223 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 9590077336225.

It is not an unprimeable number, because it can be changed into a prime (9590077336223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10234873957 + ... + 10234874893.

Almost surely, 29590077336225 is an apocalyptic number.

9590077336225 is the 3096785-th square number.

9590077336225 is the 1548393-rd centered octagonal number.

It is an amenable number.

9590077336225 is a deficient number, since it is larger than the sum of its proper divisors (2332360278986).

9590077336225 is an frugal number, since it uses more digits than its factorization.

9590077336225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3206 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 21432600, while the sum is 58.

The spelling of 9590077336225 in words is "nine trillion, five hundred ninety billion, seventy-seven million, three hundred thirty-six thousand, two hundred twenty-five".

Divisors: 1 5 25 661 937 3305 4685 16525 23425 436921 619357 877969 2184605 3096785 4389845 10923025 15483925 21949225 409394977 580337509 2046974885 2901687545 10234874425 14508437725 383603093449 1918015467245 9590077336225