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66015145728 = 2832725471069
BaseRepresentation
bin111101011110110011…
…110010111100000000
320022101201010212110100
4331132303302330000
52040144334130403
650154341402400
74524626323500
oct753663627400
9208351125410
1066015145728
1125aa6913084
1210964409400
1362c09c9a0c
1432a36c5a00
151ab587d2a3
hexf5ecf2f00

66015145728 has 324 divisors, whose sum is σ = 222025800360. Its totient is φ = 18809376768.

The previous prime is 66015145717. The next prime is 66015145769. The reversal of 66015145728 is 82754151066.

66015145728 is a `hidden beast` number, since 6 + 60 + 1 + 5 + 14 + 572 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61753578 + ... + 61754646.

Almost surely, 266015145728 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 66015145728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111012900180).

66015145728 is an abundant number, since it is smaller than the sum of its proper divisors (156010654632).

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

66015145728 is a wasteful number, since it uses less digits than its factorization.

66015145728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 66015145728 in words is "sixty-six billion, fifteen million, one hundred forty-five thousand, seven hundred twenty-eight".