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212861980320 = 253511217215587
BaseRepresentation
bin1100011000111110010…
…0000000111010100000
3202100102201100222112220
43012033210000322200
511441420131332240
6241442030551040
721243626656623
oct3061744007240
9670381328486
10212861980320
1182302047400
1235307068480
13170c3c28012
14a43439ddba
15580c7115d0
hex318f900ea0

212861980320 has 288 divisors, whose sum is σ = 780369920064. Its totient is φ = 48567214080.

The previous prime is 212861980319. The next prime is 212861980327. The reversal of 212861980320 is 23089168212.

It is not an unprimeable number, because it can be changed into a prime (212861980327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 879567 + ... + 1095153.

It is an arithmetic number, because the mean of its divisors is an integer number (2709617778).

Almost surely, 2212861980320 is an apocalyptic number.

212861980320 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 212861980320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390184960032).

212861980320 is an abundant number, since it is smaller than the sum of its proper divisors (567507939744).

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

212861980320 is a wasteful number, since it uses less digits than its factorization.

212861980320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215644 (or 215625 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 212861980320 in words is "two hundred twelve billion, eight hundred sixty-one million, nine hundred eighty thousand, three hundred twenty".