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212925180390912 = 2934114331334679
BaseRepresentation
bin110000011010011110000001…
…101111011010111000000000
31000220220110002220211122020000
4300122132001233122320000
5210402031232140002122
62032504251050120000
762564223315026133
oct6032360157327000
91026813086748200
10212925180390912
1161932075423370
121ba6a3b0120000
1391a69b2150b52
143a818c2ccc21a
151993a14e430ac
hexc1a781bdae00

212925180390912 has 800 divisors, whose sum is σ = 711710975796480. Its totient is φ = 62819091578880.

The previous prime is 212925180390887. The next prime is 212925180390983. The reversal of 212925180390912 is 219093081529212.

212925180390912 is a `hidden beast` number, since 2 + 1 + 2 + 9 + 2 + 518 + 0 + 39 + 0 + 91 + 2 = 666.

It is a super-2 number, since 2×2129251803909122 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6139870789 + ... + 6139905467.

Almost surely, 2212925180390912 is an apocalyptic number.

212925180390912 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 212925180390912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355855487898240).

212925180390912 is an abundant number, since it is smaller than the sum of its proper divisors (498785795405568).

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

212925180390912 is a wasteful number, since it uses less digits than its factorization.

212925180390912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35076 (or 35051 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 212925180390912 in words is "two hundred twelve trillion, nine hundred twenty-five billion, one hundred eighty million, three hundred ninety thousand, nine hundred twelve".