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66053988 = 223371113247
BaseRepresentation
bin1111101111111…
…0011101100100
311121021220001000
43323332131210
5113402211423
610315433300
71431310140
oct373763544
9147256030
1066053988
1134316380
121a155830
13108b9700
148ab6220
155beb843
hex3efe764

66053988 has 288 divisors, whose sum is σ = 236113920. Its totient is φ = 15500160.

The previous prime is 66053987. The next prime is 66054017. The reversal of 66053988 is 88935066.

66053988 is a `hidden beast` number, since 6 + 605 + 39 + 8 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (66053983) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1405381 + ... + 1405427.

It is an arithmetic number, because the mean of its divisors is an integer number (819840).

Almost surely, 266053988 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 66053988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118056960).

66053988 is an abundant number, since it is smaller than the sum of its proper divisors (170059932).

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

66053988 is a wasteful number, since it uses less digits than its factorization.

66053988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 66053988 is about 8127.3604571226. The cubic root of 66053988 is about 404.2341631750.

The spelling of 66053988 in words is "sixty-six million, fifty-three thousand, nine hundred eighty-eight".