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21947424240 = 2435761214163
BaseRepresentation
bin10100011100001010…
…110001110111110000
32002122112221200002110
4110130022301313300
5324422020033430
614025453245320
71404610012410
oct243412616760
962575850073
1021947424240
119342826745
124306193840
1320b9ca4381
1410c2bb6640
15886be57b0
hex51c2b1df0

21947424240 has 160 divisors (see below), whose sum is σ = 79031655936. Its totient is φ = 4934292480.

The previous prime is 21947424217. The next prime is 21947424241. The reversal of 21947424240 is 4242474912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21947424241) 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 31 ways as a sum of consecutive naturals, for example, 4602 + ... + 209561.

Almost surely, 221947424240 is an apocalyptic number.

21947424240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21947424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39515827968).

21947424240 is an abundant number, since it is smaller than the sum of its proper divisors (57084231696).

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

21947424240 is a wasteful number, since it uses less digits than its factorization.

21947424240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214247 (or 214241 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 21947424240 in words is "twenty-one billion, nine hundred forty-seven million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 61 70 80 84 105 112 120 122 140 168 183 210 240 244 280 305 336 366 420 427 488 560 610 732 840 854 915 976 1220 1281 1464 1680 1708 1830 2135 2440 2562 2928 3416 3660 4270 4880 5124 6405 6832 7320 8540 10248 12810 14640 17080 20496 25620 34160 51240 102480 214163 428326 642489 856652 1070815 1284978 1499141 1713304 2141630 2569956 2998282 3212445 3426608 4283260 4497423 5139912 5996564 6424890 7495705 8566520 8994846 10279824 11993128 12849780 13063943 14991410 17133040 17989692 22487115 23986256 25699560 26127886 29982820 35979384 39191829 44974230 51399120 52255772 59965640 65319715 71958768 78383658 89948460 91447601 104511544 119931280 130639430 156767316 179896920 182895202 195959145 209023088 261278860 274342803 313534632 359793840 365790404 391918290 457238005 522557720 548685606 627069264 731580808 783836580 914476010 1045115440 1097371212 1371714015 1463161616 1567673160 1828952020 2194742424 2743428030 3135346320 3657904040 4389484848 5486856060 7315808080 10973712120 21947424240