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212417052608 = 26294314091889
BaseRepresentation
bin1100010111010100001…
…0101111111111000000
3202022021201011022110202
43011311002233333000
511440012231140413
6241325534344332
721226615104365
oct3056502577700
9668251138422
10212417052608
11820a3985652
123520205b0a8
13170529b5c97
14a3d126246c
1557d3625e58
hex31750affc0

212417052608 has 112 divisors (see below), whose sum is σ = 446743836000. Its totient is φ = 100037296128.

The previous prime is 212417052571. The next prime is 212417052613. The reversal of 212417052608 is 806250714212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112448528 + ... + 112450416.

It is an arithmetic number, because the mean of its divisors is an integer number (3988784250).

Almost surely, 2212417052608 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 212417052608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223371918000).

212417052608 is an abundant number, since it is smaller than the sum of its proper divisors (234326783392).

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

212417052608 is a wasteful number, since it uses less digits than its factorization.

212417052608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3382 (or 3372 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The spelling of 212417052608 in words is "two hundred twelve billion, four hundred seventeen million, fifty-two thousand, six hundred eight".

Divisors: 1 2 4 8 16 29 32 43 58 64 86 116 172 232 344 464 688 928 1247 1376 1409 1856 1889 2494 2752 2818 3778 4988 5636 7556 9976 11272 15112 19952 22544 30224 39904 40861 45088 54781 60448 60587 79808 81227 81722 90176 109562 120896 121174 162454 163444 219124 242348 324908 326888 438248 484696 649816 653776 876496 969392 1299632 1307552 1752992 1757023 1938784 2355583 2599264 2615104 2661601 3505984 3514046 3877568 4711166 5198528 5323202 7028092 9422332 10646404 14056184 18844664 21292808 28112368 37689328 42585616 56224736 75378656 77186429 85171232 112449472 114448843 150757312 154372858 170342464 228897686 308745716 457795372 617491432 915590744 1234982864 1831181488 2469965728 3319016447 3662362976 4939931456 6638032894 7324725952 13276065788 26552131576 53104263152 106208526304 212417052608