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332663341164000 = 25353711360025261
BaseRepresentation
bin100101110100011100011100…
…0010001111010010111100000
31121121212022020012220202220120
41023220320320101322113200
5322100324010314222000
63135303232411440240
7130033063465426110
oct11350707021722740
91547768205822816
10332663341164000
1196aa6804631980
1231388473a56080
1311381031758712
145c20dc501d040
15286d50c1ba6a0
hex12e8e3847a5e0

332663341164000 has 384 divisors, whose sum is σ = 1358718057575424. Its totient is φ = 69124849920000.

The previous prime is 332663341163983. The next prime is 332663341164023. The reversal of 332663341164000 is 461143366233.

It is a super-2 number, since 2×3326633411640002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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, 179088631 + ... + 180936630.

It is an arithmetic number, because the mean of its divisors is an integer number (3538328274936).

Almost surely, 2332663341164000 is an apocalyptic number.

332663341164000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

332663341164000 is an abundant number, since it is smaller than the sum of its proper divisors (1026054716411424).

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

332663341164000 is a wasteful number, since it uses less digits than its factorization.

332663341164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360025307 (or 360025289 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 42.

The spelling of 332663341164000 in words is "three hundred thirty-two trillion, six hundred sixty-three billion, three hundred forty-one million, one hundred sixty-four thousand".