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66002190336 = 21538307
BaseRepresentation
bin111101011110000010…
…011000000000000000
320022100210202200000000
4331132002120000000
52040133030042321
650153200000000
74524411234615
oct753602300000
9208323680000
1066002190336
1125a9a574545
1210960000000
1362bb111bc4
1432a1ab250c
151ab466e826
hexf5e098000

66002190336 has 288 divisors, whose sum is σ = 198638419980. Its totient is φ = 21929066496.

The previous prime is 66002190263. The next prime is 66002190343. The reversal of 66002190336 is 63309120066.

66002190336 is a `hidden beast` number, since 6 + 600 + 2 + 19 + 0 + 3 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×660021903363 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 66002190336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 214990695 + ... + 214991001.

Almost surely, 266002190336 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 66002190336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99319209990).

66002190336 is an abundant number, since it is smaller than the sum of its proper divisors (132636229644).

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

66002190336 is an frugal number, since it uses more digits than its factorization.

66002190336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 66002190336 in words is "sixty-six billion, two million, one hundred ninety thousand, three hundred thirty-six".