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212927997672 = 23351367125753
BaseRepresentation
bin1100011001001101111…
…1110110011011101000
3202100121022121000100000
43012103133312123220
511442034031411142
6241452345543000
721245361055215
oct3062337663350
9670538530300
10212927997672
11823363381a5
12353251a4a60
1317104800b40
14a43d066b0c
15581340214c
hex31937f66e8

212927997672 has 192 divisors, whose sum is σ = 653659231680. Its totient is φ = 64537938432.

The previous prime is 212927997649. The next prime is 212927997701. The reversal of 212927997672 is 276799729212.

212927997672 is a `hidden beast` number, since 212 + 9 + 279 + 97 + 67 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1630348 + ... + 1756100.

It is an arithmetic number, because the mean of its divisors is an integer number (3404475165).

Almost surely, 2212927997672 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 212927997672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326829615840).

212927997672 is an abundant number, since it is smaller than the sum of its proper divisors (440731234008).

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

212927997672 is a wasteful number, since it uses less digits than its factorization.

212927997672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125854 (or 125838 counting only the distinct ones).

The product of its digits is 24004512, while the sum is 63.

The spelling of 212927997672 in words is "two hundred twelve billion, nine hundred twenty-seven million, nine hundred ninety-seven thousand, six hundred seventy-two".