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212921042368 = 2647401176521
BaseRepresentation
bin1100011001001100010…
…1010100010111000000
3202100120211111122110011
43012103011110113000
511442030241323433
6241451540514304
721245244666316
oct3062305242700
9670524448404
10212921042368
1182332417611
12353229ab994
1317103237088
14a43c1760b6
1558129cb3cd
hex31931545c0

212921042368 has 56 divisors (see below), whose sum is σ = 432583401024. Its totient is φ = 103934976000.

The previous prime is 212921042353. The next prime is 212921042381. The reversal of 212921042368 is 863240129212.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 212921042368.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1117948 + ... + 1294468.

Almost surely, 2212921042368 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 212921042368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216291700512).

212921042368 is an abundant number, since it is smaller than the sum of its proper divisors (219662358656).

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

212921042368 is a wasteful number, since it uses less digits than its factorization.

212921042368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176981 (or 176971 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 212921042368 in words is "two hundred twelve billion, nine hundred twenty-one million, forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 47 64 94 188 376 401 752 802 1504 1604 3008 3208 6416 12832 18847 25664 37694 75388 150776 176521 301552 353042 603104 706084 1206208 1412168 2824336 5648672 8296487 11297344 16592974 33185948 66371896 70784921 132743792 141569842 265487584 283139684 530975168 566279368 1132558736 2265117472 3326891287 4530234944 6653782574 13307565148 26615130296 53230260592 106460521184 212921042368