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664846186368 = 273713131311467
BaseRepresentation
bin10011010110010111110…
…10111011011110000000
32100120002021101122011110
421223023322323132000
541343101110430433
61225232013043320
766014336224650
oct11531372733600
92316067348143
10664846186368
11236a61381161
12a8a27786540
134a9054105a0
14242705da360
1512462c92963
hex9acbebb780

664846186368 has 512 divisors, whose sum is σ = 2201874554880. Its totient is φ = 173074636800.

The previous prime is 664846186357. The next prime is 664846186391. The reversal of 664846186368 is 863681648466.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 664846186299 and 664846186308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1423653271 + ... + 1423653737.

It is an arithmetic number, because the mean of its divisors is an integer number (4300536240).

Almost surely, 2664846186368 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 664846186368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100937277440).

664846186368 is an abundant number, since it is smaller than the sum of its proper divisors (1537028368512).

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

664846186368 is a wasteful number, since it uses less digits than its factorization.

664846186368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 934 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 66.

The spelling of 664846186368 in words is "six hundred sixty-four billion, eight hundred forty-six million, one hundred eighty-six thousand, three hundred sixty-eight".