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491148622272 = 263711197922133
BaseRepresentation
bin1110010010110101011…
…11010011100111000000
31201221201222210010122210
413021122233103213000
531021333021403042
61013344111302120
750325056256360
oct7113257234700
91657658703583
10491148622272
1117a3276583a0
127b23081a940
1337413406569
1419ab38589a0
15cb98a12a9c
hex725abd39c0

491148622272 has 448 divisors, whose sum is σ = 1727089459200. Its totient is φ = 119321579520.

The previous prime is 491148622247. The next prime is 491148622273. The reversal of 491148622272 is 272226841194.

It is a happy number.

491148622272 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491148622273) 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, 22179718 + ... + 22201850.

It is an arithmetic number, because the mean of its divisors is an integer number (3855110400).

Almost surely, 2491148622272 is an apocalyptic number.

491148622272 is a gapful number since it is divisible by the number (42) 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 491148622272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863544729600).

491148622272 is an abundant number, since it is smaller than the sum of its proper divisors (1235940836928).

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

491148622272 is a wasteful number, since it uses less digits than its factorization.

491148622272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22264 (or 22254 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The spelling of 491148622272 in words is "four hundred ninety-one billion, one hundred forty-eight million, six hundred twenty-two thousand, two hundred seventy-two".