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66396008448 = 2123471123113
BaseRepresentation
bin111101110101100000…
…101011000000000000
320100101020210200220000
4331311200223000000
52041434334232243
650300224520000
74540232521440
oct756540530000
9210336720800
1066396008448
11261818a7960
1210a4ba80000
13635189a783
1432dc108120
151ad90115d3
hexf7582b000

66396008448 has 1040 divisors, whose sum is σ = 260321250816. Its totient is φ = 16349921280.

The previous prime is 66396008431. The next prime is 66396008453. The reversal of 66396008448 is 84480069366.

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

It is a junction number, because it is equal to n+sod(n) for n = 66396008394 and 66396008403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 587575240 + ... + 587575352.

Almost surely, 266396008448 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 66396008448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130160625408).

66396008448 is an abundant number, since it is smaller than the sum of its proper divisors (193925242368).

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

66396008448 is a wasteful number, since it uses less digits than its factorization.

66396008448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 66396008448 in words is "sixty-six billion, three hundred ninety-six million, eight thousand, four hundred forty-eight".