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212745388032 = 216366173
BaseRepresentation
bin1100011000100010011…
…1010000000000000000
3202100010120222111000000
43012020213100000000
511441200304404112
6241422304000000
721241012650462
oct3061047200000
9670116874000
10212745388032
1182252252941
1235294000000
13170a5a251b8
14a422ad0132
1558023807dc
hex31889d0000

212745388032 has 476 divisors, whose sum is σ = 657279646564. Its totient is φ = 68797071360.

The previous prime is 212745388019. The next prime is 212745388067. The reversal of 212745388032 is 230883547212.

212745388032 is a `hidden beast` number, since 2 + 1 + 2 + 7 + 4 + 538 + 80 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52027785216 + 160717602816 = 228096^2 + 400896^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2914320348 + ... + 2914320420.

Almost surely, 2212745388032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212745388032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328639823282).

212745388032 is an abundant number, since it is smaller than the sum of its proper divisors (444534258532).

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

212745388032 is an frugal number, since it uses more digits than its factorization.

212745388032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 212745388032 in words is "two hundred twelve billion, seven hundred forty-five million, three hundred eighty-eight thousand, thirty-two".