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212298670080 = 213325732373
BaseRepresentation
bin1100010110110111111…
…1001010000000000000
3202021222110101212011200
43011231333022000000
511434241424420310
6241310105141200
721223646631000
oct3055577120000
9667873355150
10212298670080
1182043079052
123518a48a800
1317034307353
14a3bd648000
1557c803e9c0
hex316dfca000

212298670080 has 1344 divisors, whose sum is σ = 907801689600. Its totient is φ = 45779779584.

The previous prime is 212298670027. The next prime is 212298670099. The reversal of 212298670080 is 80076892212.

212298670080 is a `hidden beast` number, since 212 + 298 + 6 + 70 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2908200924 + ... + 2908200996.

Almost surely, 2212298670080 is an apocalyptic number.

212298670080 is a gapful number since it is divisible by the number (20) 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 212298670080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453900844800).

212298670080 is an abundant number, since it is smaller than the sum of its proper divisors (695503019520).

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

212298670080 is an equidigital number, since it uses as much as digits as its factorization.

212298670080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 212298670080 in words is "two hundred twelve billion, two hundred ninety-eight million, six hundred seventy thousand, eighty".