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212130648576 = 2936711361
BaseRepresentation
bin1100010110001111111…
…0001101001000000000
3202021112202020111000000
43011203332031020000
511433420421223301
6241241304000000
721216536522250
oct3054376151000
9667482214000
10212130648576
1181a67248000
1235142160000
1317008568742
14a3a51cb960
1557b8400786
hex3163f8d200

212130648576 has 1120 divisors, whose sum is σ = 811929926016. Its totient is φ = 54195609600.

The previous prime is 212130648559. The next prime is 212130648581. The reversal of 212130648576 is 675846031212.

212130648576 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 30 + 6 + 48 + 576 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3477551586 + ... + 3477551646.

Almost surely, 2212130648576 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 212130648576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405964963008).

212130648576 is an abundant number, since it is smaller than the sum of its proper divisors (599799277440).

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

212130648576 is an frugal number, since it uses more digits than its factorization.

212130648576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

Adding to 212130648576 its reverse (675846031212), we get a palindrome (887976679788).

The spelling of 212130648576 in words is "two hundred twelve billion, one hundred thirty million, six hundred forty-eight thousand, five hundred seventy-six".