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66580493616 = 24337213313773
BaseRepresentation
bin111110000000100000…
…011011010100110000
320100212002221111222000
4332000200123110300
52042324101243431
650330415014000
74544632600200
oct760040332460
9210762844860
1066580493616
1126266a5333a
1210aa180a300
136380b81cb0
14331880c400
151aea3039e6
hexf8081b530

66580493616 has 480 divisors, whose sum is σ = 240488982720. Its totient is φ = 17480945664.

The previous prime is 66580493597. The next prime is 66580493627. The reversal of 66580493616 is 61639408566.

66580493616 is a `hidden beast` number, since 6 + 6 + 580 + 49 + 3 + 6 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86132206 + ... + 86132978.

It is an arithmetic number, because the mean of its divisors is an integer number (501018714).

Almost surely, 266580493616 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 66580493616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120244491360).

66580493616 is an abundant number, since it is smaller than the sum of its proper divisors (173908489104).

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

66580493616 is a wasteful number, since it uses less digits than its factorization.

66580493616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 66580493616 in words is "sixty-six billion, five hundred eighty million, four hundred ninety-three thousand, six hundred sixteen".