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212849718768 = 243259178314051
BaseRepresentation
bin1100011000111011010…
…1001111010111110000
3202100101212022000212100
43012032311033113300
511441404012000033
6241440512100400
721243420520641
oct3061665172760
9670355260770
10212849718768
11822a6132095
1235302b34700
13170c1523c6b
14a4328cb6c8
15580b5dd513
hex318ed4f5f0

212849718768 has 120 divisors (see below), whose sum is σ = 606162810240. Its totient is φ = 69703286400.

The previous prime is 212849718751. The next prime is 212849718793. The reversal of 212849718768 is 867817948212.

212849718768 is a `hidden beast` number, since 2 + 1 + 2 + 8 + 497 + 1 + 87 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15141343 + ... + 15155393.

It is an arithmetic number, because the mean of its divisors is an integer number (5051356752).

Almost surely, 2212849718768 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 212849718768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303081405120).

212849718768 is an abundant number, since it is smaller than the sum of its proper divisors (393313091472).

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

212849718768 is a wasteful number, since it uses less digits than its factorization.

212849718768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15907 (or 15898 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 63.

The spelling of 212849718768 in words is "two hundred twelve billion, eight hundred forty-nine million, seven hundred eighteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 354 472 531 708 944 1062 1416 1783 2124 2832 3566 4248 5349 7132 8496 10698 14051 14264 16047 21396 28102 28528 32094 42153 42792 56204 64188 84306 85584 105197 112408 126459 128376 168612 210394 224816 252918 256752 315591 337224 420788 505836 631182 674448 829009 841576 946773 1011672 1262364 1658018 1683152 1893546 2023344 2487027 2524728 3316036 3787092 4974054 5049456 6632072 7461081 7574184 9948108 13264144 14922162 15148368 19896216 25052933 29844324 39792432 50105866 59688648 75158799 100211732 119377296 150317598 200423464 225476397 300635196 400846928 450952794 601270392 901905588 1202540784 1478123047 1803811176 2956246094 3607622352 4434369141 5912492188 8868738282 11824984376 13303107423 17737476564 23649968752 26606214846 35474953128 53212429692 70949906256 106424859384 212849718768