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212827336920 = 233351117914759
BaseRepresentation
bin1100011000110101111…
…1110111000011011000
3202100100022011220202000
43012031133313003120
511441332244240140
6241434352241000
721243026341512
oct3061537670330
9670308156660
10212827336920
11822945352a0
12352b7540160
13170b99b8673
14a42d942bb2
15580966ba30
hex318d7f70d8

212827336920 has 128 divisors (see below), whose sum is σ = 773917632000. Its totient is φ = 51594503040.

The previous prime is 212827336913. The next prime is 212827336949. The reversal of 212827336920 is 29633728212.

212827336920 is a `hidden beast` number, since 2 + 1 + 282 + 7 + 3 + 369 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8945500 + ... + 8969259.

It is an arithmetic number, because the mean of its divisors is an integer number (6046231500).

Almost surely, 2212827336920 is an apocalyptic number.

212827336920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212827336920 is an abundant number, since it is smaller than the sum of its proper divisors (561090295080).

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

212827336920 is a wasteful number, since it uses less digits than its factorization.

212827336920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17914790 (or 17914780 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 212827336920 in words is "two hundred twelve billion, eight hundred twenty-seven million, three hundred thirty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 11880 17914759 35829518 53744277 71659036 89573795 107488554 143318072 161232831 179147590 197062349 214977108 268721385 322465662 358295180 394124698 429954216 483698493 537442770 591187047 644931324 716590360 788249396 806164155 967396986 985311745 1074885540 1182374094 1289862648 1576498792 1612328310 1773561141 1934793972 1970623490 2149771080 2364748188 2418492465 2955935235 3224656620 3547122282 3869587944 3941246980 4729496376 4836984930 5320683423 5911870470 6449313240 7094244564 7882493960 8867805705 9673969860 10641366846 11823740940 14188489128 17735611410 19347939720 21282733692 23647481880 26603417115 35471222820 42565467384 53206834230 70942445640 106413668460 212827336920