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9681576025 = 5211217892
BaseRepresentation
bin10010000010001000…
…10010000001011001
3220222201121000112211
421001010102001121
5124311440413100
64240405435121
7461630016112
oct110104220131
926881530484
109681576025
114118aa7400
121a6240baa1
13bb3a3b714
1467bb55209
153b9e601ba
hex241112059

9681576025 has 27 divisors (see below), whose sum is σ = 13203128253. Its totient is φ = 7037210400.

The previous prime is 9681576011. The next prime is 9681576059. The reversal of 9681576025 is 5206751869.

The square root of 9681576025 is 98395.

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 1513754649 + 8167821376 = 38907^2 + 90376^2 .

It is a de Polignac number, because none of the positive numbers 2k-9681576025 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 9681576025.

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, 5410831 + ... + 5412619.

Almost surely, 29681576025 is an apocalyptic number.

9681576025 is the 98395-th square number.

9681576025 is the 49198-th centered octagonal number.

It is an amenable number.

9681576025 is a deficient number, since it is larger than the sum of its proper divisors (3521552228).

9681576025 is an equidigital number, since it uses as much as digits as its factorization.

9681576025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3610 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 49.

The cubic root of 9681576025 is about 2131.3201294995.

Multiplying 9681576025 by its sum of digits (49), we get a square (474397225225 = 6887652).

The spelling of 9681576025 in words is "nine billion, six hundred eighty-one million, five hundred seventy-six thousand, twenty-five".

Divisors: 1 5 11 25 55 121 275 605 1789 3025 8945 19679 44725 98395 216469 491975 1082345 3200521 5411725 16002605 35205731 80013025 176028655 387263041 880143275 1936315205 9681576025