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212026768272 = 2432114119117093
BaseRepresentation
bin1100010101110111000…
…1111011101110010000
3202021021111202211000100
43011131301323232100
511433212323041042
6241223113252400
721214135536234
oct3053561735620
9667244684010
10212026768272
1181a13646210
1235113404100
1316cbcb969c7
14a3954aa5c4
1557ae23124c
hex315dc7bb90

212026768272 has 240 divisors, whose sum is σ = 666623333376. Its totient is φ = 62351616000.

The previous prime is 212026768249. The next prime is 212026768279. The reversal of 212026768272 is 272867620212.

It is not an unprimeable number, because it can be changed into a prime (212026768279) 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, 12395758 + ... + 12412850.

Almost surely, 2212026768272 is an apocalyptic number.

212026768272 is a gapful number since it is divisible by the number (22) 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 212026768272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333311666688).

212026768272 is an abundant number, since it is smaller than the sum of its proper divisors (454596565104).

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

212026768272 is a wasteful number, since it uses less digits than its factorization.

212026768272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17350 (or 17341 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 212026768272 in words is "two hundred twelve billion, twenty-six million, seven hundred sixty-eight thousand, two hundred seventy-two".