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20543148327025 = 52172533232
BaseRepresentation
bin1001010101111000100110…
…00011110000000001110001
32200201220110022212100011101
410222330103003300001301
510143034331432431100
6111405220403444401
74220123236436122
oct452742303600161
980656408770141
1020543148327025
116600333743235
122379496986701
13b6029782cb5c
14510417c26049
15259593a9386a
hex12af130f0071

20543148327025 has 27 divisors (see below), whose sum is σ = 27060596429601. Its totient is φ = 15467492192640.

The previous prime is 20543148326999. The next prime is 20543148327041. The reversal of 20543148327025 is 52072384134502.

It is a happy number.

The square root of 20543148327025 is 4532455.

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 480524853601 + 20062623473424 = 693199^2 + 4479132^2 .

It is not a de Polignac number, because 20543148327025 - 215 = 20543148294257 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 385232014 + ... + 385285336.

Almost surely, 220543148327025 is an apocalyptic number.

20543148327025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20543148327025 is the 4532455-th square number.

20543148327025 is the 2266228-th centered octagonal number.

It is an amenable number.

20543148327025 is a deficient number, since it is larger than the sum of its proper divisors (6517448102576).

20543148327025 is an frugal number, since it uses more digits than its factorization.

20543148327025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106690 (or 53345 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 46.

The spelling of 20543148327025 in words is "twenty trillion, five hundred forty-three billion, one hundred forty-eight million, three hundred twenty-seven thousand, twenty-five".

Divisors: 1 5 17 25 85 289 425 1445 7225 53323 266615 906491 1333075 4532455 15410347 22662275 77051735 385258675 2843342329 14216711645 48336819593 71083558225 241684097965 821725933081 1208420489825 4108629665405 20543148327025