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491144927064 = 2331123143711787
BaseRepresentation
bin1110010010110101000…
…01001101011101011000
31201221201201211101210020
413021122201031131120
531021331100131224
61013343500150440
750325012666231
oct7113241153530
91657651741706
10491144927064
1117a325564100
127b22b538420
133741271164c
1419ab3176088
15cb98532c79
hex725a84d758

491144927064 has 384 divisors, whose sum is σ = 1446457098240. Its totient is φ = 138622176000.

The previous prime is 491144927023. The next prime is 491144927081. The reversal of 491144927064 is 460729441194.

It is a junction number, because it is equal to n+sod(n) for n = 491144926998 and 491144927016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 274842379 + ... + 274844165.

It is an arithmetic number, because the mean of its divisors is an integer number (3766815360).

Almost surely, 2491144927064 is an apocalyptic number.

491144927064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 491144927064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723228549120).

491144927064 is an abundant number, since it is smaller than the sum of its proper divisors (955312171176).

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

491144927064 is a wasteful number, since it uses less digits than its factorization.

491144927064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 491144927064 in words is "four hundred ninety-one billion, one hundred forty-four million, nine hundred twenty-seven thousand, sixty-four".