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66647002000 = 245340183101
BaseRepresentation
bin111110000100011110…
…001000101110010000
320101000202002111022111
4332010132020232100
52042443113031000
650341152315104
74546401112165
oct760436105620
9211022074274
1066647002000
11262a054a047
1210abbb42a94
13639189a477
1433235a206c
151b0108ecba
hexf84788b90

66647002000 has 80 divisors (see below), whose sum is σ = 161556271344. Its totient is φ = 26592000000.

The previous prime is 66647001923. The next prime is 66647002033. The reversal of 66647002000 is 20074666.

It can be written as a sum of positive squares in 8 ways, for example, as 3406823424 + 63240178576 = 58368^2 + 251476^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 760450 + ... + 843550.

Almost surely, 266647002000 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 66647002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80778135672).

66647002000 is an abundant number, since it is smaller than the sum of its proper divisors (94909269344).

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

66647002000 is a wasteful number, since it uses less digits than its factorization.

66647002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83525 (or 83509 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

Adding to 66647002000 its reverse (20074666), we get a palindrome (66667076666).

The spelling of 66647002000 in words is "sixty-six billion, six hundred forty-seven million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 401 500 802 1000 1604 2000 2005 3208 4010 6416 8020 10025 16040 20050 32080 40100 50125 80200 83101 100250 160400 166202 200500 332404 401000 415505 664808 802000 831010 1329616 1662020 2077525 3324040 4155050 6648080 8310100 10387625 16620200 20775250 33240400 33323501 41550500 66647002 83101000 133294004 166202000 166617505 266588008 333235010 533176016 666470020 833087525 1332940040 1666175050 2665880080 3332350100 4165437625 6664700200 8330875250 13329400400 16661750500 33323501000 66647002000