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320328942912 = 263211192236089
BaseRepresentation
bin1001010100101010001…
…01111100010101000000
31010121211021102022211200
410222111011330111000
520222013202133122
6403053532541200
732100023042436
oct4522505742500
91117737368750
10320328942912
1111393a378a70
12520b9621800
132428c6c9104
141170adb2d56
1584ec2545ac
hex4a9517c540

320328942912 has 504 divisors, whose sum is σ = 1103270051520. Its totient is φ = 87947735040.

The previous prime is 320328942863. The next prime is 320328942919. The reversal of 320328942912 is 219249823023.

320328942912 is a `hidden beast` number, since 3 + 203 + 2 + 8 + 9 + 429 + 12 = 666.

It is a super-2 number, since 2×3203289429122 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320328942919) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52604764 + ... + 52610852.

It is an arithmetic number, because the mean of its divisors is an integer number (2189027880).

Almost surely, 2320328942912 is an apocalyptic number.

320328942912 is a gapful number since it is divisible by the number (32) 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 320328942912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551635025760).

320328942912 is an abundant number, since it is smaller than the sum of its proper divisors (782941108608).

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

320328942912 is a wasteful number, since it uses less digits than its factorization.

320328942912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6179 (or 6147 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 320328942912 in words is "three hundred twenty billion, three hundred twenty-eight million, nine hundred forty-two thousand, nine hundred twelve".