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666125000 = 2356732
BaseRepresentation
bin100111101101000…
…100001011001000
31201102102122201022
4213231010023020
52331012000000
6150033212012
722335653252
oct4755041310
91642378638
10666125000
11312012632
12167101008
13a800b708
146467acd2
153d730585
hex27b442c8

666125000 has 84 divisors (see below), whose sum is σ = 1582889895. Its totient is φ = 262800000.

The previous prime is 666124967. The next prime is 666125017. The reversal of 666125000 is 521666.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 11 ways, for example, as 551592196 + 114532804 = 23486^2 + 10702^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=18250.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 9124964 + ... + 9125036.

Almost surely, 2666125000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 666125000

666125000 is an abundant number, since it is smaller than the sum of its proper divisors (916764895).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

666125000 is an frugal number, since it uses more digits than its factorization.

666125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 666125000 is about 25809.3975133090. The cubic root of 666125000 is about 873.3438059204.

Adding to 666125000 its reverse (521666), we get a palindrome (666646666).

The spelling of 666125000 in words is "six hundred sixty-six million, one hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 125 146 200 250 292 365 500 584 625 730 1000 1250 1460 1825 2500 2920 3125 3650 5000 5329 6250 7300 9125 10658 12500 14600 15625 18250 21316 25000 26645 31250 36500 42632 45625 53290 62500 73000 91250 106580 125000 133225 182500 213160 228125 266450 365000 456250 532900 666125 912500 1065800 1140625 1332250 1825000 2281250 2664500 3330625 4562500 5329000 6661250 9125000 13322500 16653125 26645000 33306250 66612500 83265625 133225000 166531250 333062500 666125000