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96861000625 = 545922112
BaseRepresentation
bin101101000110101011…
…1011001001110110001
3100021000102001122121121
41122031113121032301
53041332404010000
6112255231222241
76666206630554
oct1321527311661
9307012048547
1096861000625
1138095567444
1216932677981
1391983ab46c
14498c1d469b
1527bd88ab1a
hex168d5d93b1

96861000625 has 45 divisors (see below), whose sum is σ = 123710050893. Its totient is φ = 75814410000.

The previous prime is 96861000569. The next prime is 96861000631. The reversal of 96861000625 is 52600016869.

The square root of 96861000625 is 311225.

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

It can be written as a sum of positive squares in 2 ways, for example, as 7593902449 + 89267098176 = 87143^2 + 298776^2 .

It is not a de Polignac number, because 96861000625 - 215 = 96860967857 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 459056770 + ... + 459056980.

Almost surely, 296861000625 is an apocalyptic number.

96861000625 is the 311225-th square number.

96861000625 is the 155613-rd centered octagonal number.

It is an amenable number.

96861000625 is a deficient number, since it is larger than the sum of its proper divisors (26849050268).

96861000625 is an frugal number, since it uses more digits than its factorization.

96861000625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 96861000625 in words is "ninety-six billion, eight hundred sixty-one million, six hundred twenty-five", and thus it is an aban number.

Divisors: 1 5 25 59 125 211 295 625 1055 1475 3481 5275 7375 12449 17405 26375 36875 44521 62245 87025 131875 222605 311225 435125 734491 1113025 1556125 2175625 2626739 3672455 5565125 7780625 13133695 18362275 27825625 65668475 91811375 154977601 328342375 459056875 774888005 1641711875 3874440025 19372200125 96861000625