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95780965225 = 521121723312
BaseRepresentation
bin101100100110011111…
…1011000101101101001
3100011020010210011120111
41121030333120231221
53032124411341400
6112000130254321
76630353525401
oct1311477305551
9304203704514
1095780965225
1137690948900
1216690a273a1
1390556caa6a
1448c89b1801
152758b4a3ba
hex164cfd8b69

95780965225 has 81 divisors (see below), whose sum is σ = 139098273573. Its totient is φ = 65363232000.

The previous prime is 95780965139. The next prime is 95780965237. The reversal of 95780965225 is 52256908759.

The square root of 95780965225 is 309485.

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 2240412889 + 93540552336 = 47333^2 + 305844^2 .

It is not a de Polignac number, because 95780965225 - 211 = 95780963177 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 95780965225.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 289368310 + ... + 289368640.

Almost surely, 295780965225 is an apocalyptic number.

95780965225 is the 309485-th square number.

95780965225 is the 154743-rd centered octagonal number.

It is an amenable number.

95780965225 is a deficient number, since it is larger than the sum of its proper divisors (43317308348).

95780965225 is a wasteful number, since it uses less digits than its factorization.

95780965225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 58.

The spelling of 95780965225 in words is "ninety-five billion, seven hundred eighty million, nine hundred sixty-five thousand, two hundred twenty-five".

Divisors: 1 5 11 17 25 55 85 121 187 275 289 331 425 605 935 1445 1655 2057 3025 3179 3641 4675 5627 7225 8275 10285 15895 18205 28135 34969 40051 51425 61897 79475 91025 95659 109561 140675 174845 200255 309485 478295 547805 680867 874225 1001275 1052249 1205171 1547425 1862537 2391475 2739025 3404335 5261245 6025855 9312685 11574739 13256881 17021675 20487907 26306225 30129275 31663129 46563425 57873695 66284405 102439535 158315645 225366977 289368475 331422025 348294419 512197675 791578225 1126834885 1741472095 3831238609 5634174425 8707360475 19156193045 95780965225