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66471414048 = 25331337307521
BaseRepresentation
bin111101111010000000…
…010100100100100000
320100120111200200221000
4331322000110210200
52042113140222143
650311521032000
74542136461024
oct757200244440
9210514620830
1066471414048
1126210420236
1210a71185600
1363643ac880
143308136384
151ae0958bd3
hexf7a014920

66471414048 has 384 divisors, whose sum is σ = 215542736640. Its totient is φ = 19797073920.

The previous prime is 66471413999. The next prime is 66471414049. The reversal of 66471414048 is 84041417466.

66471414048 is a `hidden beast` number, since 66 + 47 + 141 + 404 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 66471413994 and 66471414012.

It is not an unprimeable number, because it can be changed into a prime (66471414049) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127584028 + ... + 127584548.

It is an arithmetic number, because the mean of its divisors is an integer number (561309210).

Almost surely, 266471414048 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 66471414048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107771368320).

66471414048 is an abundant number, since it is smaller than the sum of its proper divisors (149071322592).

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

66471414048 is a wasteful number, since it uses less digits than its factorization.

66471414048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 66471414048 in words is "sixty-six billion, four hundred seventy-one million, four hundred fourteen thousand, forty-eight".