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166419123025 = 528329832
BaseRepresentation
bin1001101011111101011…
…0100100101101010001
3120220120000221101101011
42122333112210231101
510211311243414100
6204241335210521
715011010130411
oct2327726445521
9526500841334
10166419123025
116463a290311
1228305516a41
131290211117c
1480aa264641
1544e02b4bba
hex26bf5a4b51

166419123025 has 27 divisors (see below), whose sum is σ = 209088633499. Its totient is φ = 131397452720.

The previous prime is 166419123007. The next prime is 166419123037. The reversal of 166419123025 is 520321914661.

The square root of 166419123025 is 407945.

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

It can be written as a sum of positive squares in only one way, i.e., 59910884289 + 106508238736 = 244767^2 + 326356^2 .

It is not a de Polignac number, because 166419123025 - 217 = 166418991953 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, 169296684 + ... + 169297666.

Almost surely, 2166419123025 is an apocalyptic number.

166419123025 is the 407945-th square number.

166419123025 is the 203973-rd centered octagonal number.

It is an amenable number.

166419123025 is a deficient number, since it is larger than the sum of its proper divisors (42669510474).

166419123025 is an frugal number, since it uses more digits than its factorization.

166419123025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

It can be divided in two parts, 166419 and 123025, that added together give a square (289444 = 5382).

The spelling of 166419123025 in words is "one hundred sixty-six billion, four hundred nineteen million, one hundred twenty-three thousand, twenty-five".

Divisors: 1 5 25 83 415 983 2075 4915 6889 24575 34445 81589 172225 407945 966289 2039725 4831445 6771887 24157225 33859435 80201987 169297175 401009935 2005049675 6656764921 33283824605 166419123025