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47138923225 = 5217322512
BaseRepresentation
bin101011111001101100…
…101110001011011001
311111200012012102010101
4223321230232023121
51233020031020400
633353314415401
73256101144022
oct537154561331
9144605172111
1047138923225
1118a9a769799
129176891561
1345a30a96a4
1423d276bc49
15135d5e356a
hexaf9b2e2d9

47138923225 has 27 divisors (see below), whose sum is σ = 59027256829. Its totient is φ = 37343780000.

The previous prime is 47138923207. The next prime is 47138923231. The reversal of 47138923225 is 52232983174.

The square root of 47138923225 is 217115.

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 5189329369 + 41949593856 = 72037^2 + 204816^2 .

It is not a de Polignac number, because 47138923225 - 25 = 47138923193 is a prime.

It is a Duffinian number.

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, 187804350 + ... + 187804600.

Almost surely, 247138923225 is an apocalyptic number.

47138923225 is the 217115-th square number.

47138923225 is the 108558-th centered octagonal number.

It is an amenable number.

47138923225 is a deficient number, since it is larger than the sum of its proper divisors (11888333604).

47138923225 is an frugal number, since it uses more digits than its factorization.

47138923225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 429 counting only the distinct ones).

The product of its digits is 725760, while the sum is 46.

The spelling of 47138923225 in words is "forty-seven billion, one hundred thirty-eight million, nine hundred twenty-three thousand, two hundred twenty-five".

Divisors: 1 5 25 173 251 865 1255 4325 6275 29929 43423 63001 149645 217115 315005 748225 1085575 1575025 7512179 10899173 37560895 54495865 187804475 272479325 1885556929 9427784645 47138923225