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212052219456 = 263711172311601
BaseRepresentation
bin1100010101111101001…
…1000001011001000000
3202021100021122212110210
43011133103001121000
511433240332010311
6241225422554120
721214565061030
oct3053723013100
9667307585423
10212052219456
1181a26a4a050
123511ba38940
1316cc523838c
14a398a138c0
1557b15ac3a6
hex315f4c1640

212052219456 has 672 divisors, whose sum is σ = 767513124864. Its totient is φ = 50135040000.

The previous prime is 212052219427. The next prime is 212052219493. The reversal of 212052219456 is 654912250212.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×2120522194562 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132449056 + ... + 132450656.

Almost surely, 2212052219456 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 212052219456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383756562432).

212052219456 is an abundant number, since it is smaller than the sum of its proper divisors (555460905408).

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

212052219456 is a wasteful number, since it uses less digits than its factorization.

212052219456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

Adding to 212052219456 its reverse (654912250212), we get a palindrome (866964469668).

The spelling of 212052219456 in words is "two hundred twelve billion, fifty-two million, two hundred nineteen thousand, four hundred fifty-six".