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166370173225 = 52294972
BaseRepresentation
bin1001101011110001101…
…1110110000100101001
3120220102121211110212121
42122330123312010221
510211211231020400
6204232430111241
715006544065544
oct2327433660451
9526377743777
10166370173225
1164614697633
12282b104b521
13128c4c32aa9
1480a396185b
1544dad4621a
hex26bc6f6129

166370173225 has 45 divisors (see below), whose sum is σ = 215892285897. Its totient is φ = 127181806080.

The previous prime is 166370173217. The next prime is 166370173231. The reversal of 166370173225 is 522371073661.

The square root of 166370173225 is 407885.

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

It can be written as a sum of positive squares in 22 ways, for example, as 162935744409 + 3434428816 = 403653^2 + 58604^2 .

It is not a de Polignac number, because 166370173225 - 23 = 166370173217 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, 1715156377 + ... + 1715156473.

Almost surely, 2166370173225 is an apocalyptic number.

166370173225 is the 407885-th square number.

166370173225 is the 203943-rd centered octagonal number.

It is an amenable number.

166370173225 is a deficient number, since it is larger than the sum of its proper divisors (49522112672).

166370173225 is an frugal number, since it uses more digits than its factorization.

166370173225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 43.

The spelling of 166370173225 in words is "one hundred sixty-six billion, three hundred seventy million, one hundred seventy-three thousand, two hundred twenty-five".

Divisors: 1 5 25 29 97 145 485 725 841 2425 2813 4205 9409 14065 21025 24389 47045 70325 81577 121945 235225 272861 407885 609725 707281 1364305 2039425 2365733 3536405 6821525 7912969 11828665 17682025 39564845 59143325 68606257 197824225 229476101 343031285 1147380505 1715156425 5736902525 6654806929 33274034645 166370173225