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212114550336 = 26313831676131
BaseRepresentation
bin1100010110001100000…
…0110010111001000000
3202021111121221121100220
43011203000302321000
511433402311102321
6241235530543040
721216252633513
oct3054300627100
9667447847326
10212114550336
1181a59152177
1235138897a80
1317005120260
14a3a2ddad7a
1557b6cc09c6
hex3163032e40

212114550336 has 224 divisors, whose sum is σ = 615435383808. Its totient is φ = 64083118080.

The previous prime is 212114550311. The next prime is 212114550359. The reversal of 212114550336 is 633055411212.

It is a junction number, because it is equal to n+sod(n) for n = 212114550297 and 212114550306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34593991 + ... + 34600121.

It is an arithmetic number, because the mean of its divisors is an integer number (2747479392).

Almost surely, 2212114550336 is an apocalyptic number.

212114550336 is a gapful number since it is divisible by the number (26) 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 212114550336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307717691904).

212114550336 is an abundant number, since it is smaller than the sum of its proper divisors (403320833472).

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

212114550336 is a wasteful number, since it uses less digits than its factorization.

212114550336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6409 (or 6399 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 212114550336 its reverse (633055411212), we get a palindrome (845169961548).

The spelling of 212114550336 in words is "two hundred twelve billion, one hundred fourteen million, five hundred fifty thousand, three hundred thirty-six".