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97878251025 = 3252208572
BaseRepresentation
bin101101100100111111…
…1111001011000010001
3100100122022012022211100
41123021333321120101
53100423313013100
6112544210335013
710033341256302
oct1331177713021
9310568168740
1097878251025
11385677a2755
1216b7728a469
1392cb078389
144a473527a9
15282cd28400
hex16c9ff9611

97878251025 has 27 divisors (see below), whose sum is σ = 175319228721. Its totient is φ = 52199231040.

The previous prime is 97878250993. The next prime is 97878251041. The reversal of 97878251025 is 52015287879.

The square root of 97878251025 is 312855.

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 21761855361 + 76116395664 = 147519^2 + 275892^2 .

It is not a de Polignac number, because 97878251025 - 25 = 97878250993 is a prime.

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, 4682397 + ... + 4703253.

Almost surely, 297878251025 is an apocalyptic number.

97878251025 is the 312855-th square number.

97878251025 is the 156428-th centered octagonal number.

It is an amenable number.

97878251025 is a deficient number, since it is larger than the sum of its proper divisors (77440977696).

97878251025 is an frugal number, since it uses more digits than its factorization.

97878251025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41730 (or 20865 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 97878251025 in words is "ninety-seven billion, eight hundred seventy-eight million, two hundred fifty-one thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 20857 62571 104285 187713 312855 521425 938565 1564275 4692825 435014449 1305043347 2175072245 3915130041 6525216735 10875361225 19575650205 32626083675 97878251025