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212680423728 = 24321924199787
BaseRepresentation
bin1100011000010010111…
…1011011100100110000
3202022222001201221201200
43012010233123210300
511441032142024403
6241412023331200
721236263526253
oct3060457334460
9668861657650
10212680423728
1182219611233
12352762b0b00
131709542a796
14a41821d09a
1557eb7ebca3
hex3184bdb930

212680423728 has 180 divisors, whose sum is σ = 643513453128. Its totient is φ = 65523479040.

The previous prime is 212680423693. The next prime is 212680423729. The reversal of 212680423728 is 827324086212.

212680423728 is a `hidden beast` number, since 2 + 126 + 80 + 423 + 7 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (212680423729) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2081451 + ... + 2181237.

Almost surely, 2212680423728 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 212680423728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321756726564).

212680423728 is an abundant number, since it is smaller than the sum of its proper divisors (430833029400).

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

212680423728 is a wasteful number, since it uses less digits than its factorization.

212680423728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99880 (or 99852 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 212680423728 in words is "two hundred twelve billion, six hundred eighty million, four hundred twenty-three thousand, seven hundred twenty-eight".