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212487213027744 = 253219210691911857
BaseRepresentation
bin110000010100000110001000…
…110110100001000110100000
31000212100120122012222101021100
4300110012020312201012200
5210322342303013341434
62031531140021354400
762520460136616204
oct6024061066410640
91025316565871240
10212487213027744
1161783359251086
121b9b9541868a00
1391745c58c3855
143a686164b0b04
151987430220699
hexc14188da11a0

212487213027744 has 216 divisors, whose sum is σ = 638334456554340. Its totient is φ = 67038420013056.

The previous prime is 212487213027701. The next prime is 212487213027773. The reversal of 212487213027744 is 447720312784212.

212487213027744 is a `hidden beast` number, since 2 + 1 + 2 + 487 + 2 + 130 + 27 + 7 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 204175178064144 + 8312034963600 = 14288988^2 + 2883060^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 110185864 + ... + 112097720.

Almost surely, 2212487213027744 is an apocalyptic number.

212487213027744 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 212487213027744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319167228277170).

212487213027744 is an abundant number, since it is smaller than the sum of its proper divisors (425847243526596).

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

212487213027744 is a wasteful number, since it uses less digits than its factorization.

212487213027744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912980 (or 1912950 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 54.

The spelling of 212487213027744 in words is "two hundred twelve trillion, four hundred eighty-seven billion, two hundred thirteen million, twenty-seven thousand, seven hundred forty-four".