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332482461696 = 2143371143227
BaseRepresentation
bin1001101011010010111…
…11111100000000000000
31011210012021102001101000
410311221133330000000
520421411002233241
6412423525012000
733010140203010
oct4655137740000
91153167361330
10332482461696
11119006755570
125452b854000
13254785c2348
1412141153c40
1589ae1ebeb6
hex4d697fc000

332482461696 has 960 divisors, whose sum is σ = 1262279208960. Its totient is φ = 83979141120.

The previous prime is 332482461679. The next prime is 332482461713. The reversal of 332482461696 is 696164284233.

332482461696 is a `hidden beast` number, since 3 + 32 + 482 + 46 + 1 + 6 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (332482461679) and next prime (332482461713).

It is a super-2 number, since 2×3324824616962 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1464680335 + ... + 1464680561.

It is an arithmetic number, because the mean of its divisors is an integer number (1314874176).

Almost surely, 2332482461696 is an apocalyptic number.

332482461696 is a gapful number since it is divisible by the number (36) 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 332482461696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631139604480).

332482461696 is an abundant number, since it is smaller than the sum of its proper divisors (929796747264).

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

332482461696 is a wasteful number, since it uses less digits than its factorization.

332482461696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 293 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 332482461696 in words is "three hundred thirty-two billion, four hundred eighty-two million, four hundred sixty-one thousand, six hundred ninety-six".