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212950499328 = 2143271032003
BaseRepresentation
bin1100011001010011010…
…1101100000000000000
3202100122212221012210200
43012110311230000000
511442110311434303
6241454512125200
721246053243550
oct3062465540000
9670585835720
10212950499328
1182348007006
1235330836800
131710937bb28
14a442043160
1558153993a3
hex3194d6c000

212950499328 has 360 divisors, whose sum is σ = 710233375488. Its totient is φ = 60222210048.

The previous prime is 212950499317. The next prime is 212950499369. The reversal of 212950499328 is 823994059212.

212950499328 is a `hidden beast` number, since 2 + 1 + 29 + 504 + 9 + 93 + 28 = 666.

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 23 ways as a sum of consecutive naturals, for example, 106314775 + ... + 106316777.

Almost surely, 2212950499328 is an apocalyptic number.

212950499328 is a gapful number since it is divisible by the number (28) 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 212950499328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355116687744).

212950499328 is an abundant number, since it is smaller than the sum of its proper divisors (497282876160).

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

212950499328 is a wasteful number, since it uses less digits than its factorization.

212950499328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 212950499328 in words is "two hundred twelve billion, nine hundred fifty million, four hundred ninety-nine thousand, three hundred twenty-eight".