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332067641472 = 2739719991
BaseRepresentation
bin1001101010100001100…
…01100001100010000000
31011202010100212000000000
410311100301201202000
520420033304011342
6412314430000000
732663642244420
oct4652061414200
91152110760000
10332067641472
11118913587a36
1254434946000
13254106921a8
1412102012480
158987aac44c
hex4d50c61880

332067641472 has 640 divisors, whose sum is σ = 1194942566400. Its totient is φ = 89792271360.

The previous prime is 332067641467. The next prime is 332067641519. The reversal of 332067641472 is 274146760233.

It is a super-2 number, since 2×3320676414722 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 335082897 + ... + 335083887.

It is an arithmetic number, because the mean of its divisors is an integer number (1867097760).

Almost surely, 2332067641472 is an apocalyptic number.

332067641472 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 332067641472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597471283200).

332067641472 is an abundant number, since it is smaller than the sum of its proper divisors (862874924928).

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

332067641472 is an frugal number, since it uses more digits than its factorization.

332067641472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 332067641472 in words is "three hundred thirty-two billion, sixty-seven million, six hundred forty-one thousand, four hundred seventy-two".