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331890498531072 = 283713231982599
BaseRepresentation
bin100101101110110100100011…
…1010001001110111100000000
31121112010102101111011020000000
41023131221013101032330000
5322000143220110443242
63133512220140000000
7126623203643432265
oct11335510721167400
91545112344136000
10331890498531072
1196828a74064aa8
1231282728530000
13113261a7c6ab20
145bd582b78126c
152858378195a4c
hex12dda4744ef00

331890498531072 has 576 divisors, whose sum is σ = 1116526725888000. Its totient is φ = 97680097456128.

The previous prime is 331890498531071. The next prime is 331890498531083. The reversal of 331890498531072 is 270135894098133.

331890498531072 is a `hidden beast` number, since 3 + 3 + 1 + 8 + 9 + 0 + 4 + 98 + 531 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3318904985310722 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331890498531071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166410429 + ... + 168393027.

Almost surely, 2331890498531072 is an apocalyptic number.

331890498531072 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 331890498531072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558263362944000).

331890498531072 is an abundant number, since it is smaller than the sum of its proper divisors (784636227356928).

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

331890498531072 is an equidigital number, since it uses as much as digits as its factorization.

331890498531072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982672 (or 1982640 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 331890498531072 in words is "three hundred thirty-one trillion, eight hundred ninety billion, four hundred ninety-eight million, five hundred thirty-one thousand, seventy-two".