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212213965548 = 2231317618811489
BaseRepresentation
bin1100010110100011110…
…0000010001011101100
3202021202120000102101210
43011220330002023230
511434103233344143
6241253441434420
721221600642004
oct3055074021354
9667676012353
10212213965548
1181aaa284302
123516603ba10
131701c8ba820
14a3b22b9004
1557c08ac033
hex3168f022ec

212213965548 has 192 divisors, whose sum is σ = 574916952960. Its totient is φ = 60338995200.

The previous prime is 212213965541. The next prime is 212213965549. The reversal of 212213965548 is 845569312212.

It is a junction number, because it is equal to n+sod(n) for n = 212213965497 and 212213965506.

It is not an unprimeable number, because it can be changed into a prime (212213965541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142520388 + ... + 142521876.

It is an arithmetic number, because the mean of its divisors is an integer number (2994359130).

Almost surely, 2212213965548 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 212213965548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287458476480).

212213965548 is an abundant number, since it is smaller than the sum of its proper divisors (362702987412).

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

212213965548 is a wasteful number, since it uses less digits than its factorization.

212213965548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468 (or 2466 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The spelling of 212213965548 in words is "two hundred twelve billion, two hundred thirteen million, nine hundred sixty-five thousand, five hundred forty-eight".