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212986696104 = 233471331374767
BaseRepresentation
bin1100011001011011111…
…1110001000110101000
3202100202102001012110000
43012112333301012220
511442144043233404
6241502244023000
721250003021530
oct3062677610650
9670672035400
10212986696104
118236648a1a6
1235340991a60
1317113a13540
14a446b864c0
155818649339
hex3196ff11a8

212986696104 has 1280 divisors, whose sum is σ = 806823198720. Its totient is φ = 50993141760.

The previous prime is 212986696051. The next prime is 212986696133. The reversal of 212986696104 is 401696689212.

212986696104 is a `hidden beast` number, since 2 + 12 + 9 + 8 + 6 + 6 + 9 + 610 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3178905879 + ... + 3178905945.

It is an arithmetic number, because the mean of its divisors is an integer number (630330624).

Almost surely, 2212986696104 is an apocalyptic number.

212986696104 is a gapful number since it is divisible by the number (24) 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 212986696104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403411599360).

212986696104 is an abundant number, since it is smaller than the sum of its proper divisors (593836502616).

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

212986696104 is a wasteful number, since it uses less digits than its factorization.

212986696104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 212986696104 in words is "two hundred twelve billion, nine hundred eighty-six million, six hundred ninety-six thousand, one hundred four".