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22047720687102 = 2311279738239967
BaseRepresentation
bin1010000001101011000101…
…00011110100010111111110
32220001202000120012102202110
411000311202203310113332
510342212212443441402
6114520325535034450
74433616033461415
oct500654243642776
986052016172673
1022047720687102
1170304275aa400
122580bb506ba26
13c3c125306a66
1456318883647c
152837a257156c
hex140d628f45fe

22047720687102 has 96 divisors (see below), whose sum is σ = 48546921056256. Its totient is φ = 6670329906240.

The previous prime is 22047720687089. The next prime is 22047720687163. The reversal of 22047720687102 is 20178602774022.

It is a happy number.

It is a super-2 number, since 2×220477206871022 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2212066923 + ... + 2212076889.

It is an arithmetic number, because the mean of its divisors is an integer number (505697094336).

Almost surely, 222047720687102 is an apocalyptic number.

22047720687102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22047720687102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24273460528128).

22047720687102 is an abundant number, since it is smaller than the sum of its proper divisors (26499200369154).

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

22047720687102 is a wasteful number, since it uses less digits than its factorization.

22047720687102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14614 (or 14603 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 48.

The spelling of 22047720687102 in words is "twenty-two trillion, forty-seven billion, seven hundred twenty million, six hundred eighty-seven thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 797 1594 2391 3823 4782 7646 8767 9967 11469 17534 19934 22938 26301 29901 42053 52602 59802 84106 96437 109637 126159 192874 219274 252318 289311 328911 462583 578622 657822 925166 1206007 1387749 2412014 2775498 3046931 3618021 6093862 7236042 7943699 9140793 15887398 18281586 23831097 33516241 38103841 47662194 67032482 76207682 87380689 100548723 114311523 174761378 201097446 228623046 262142067 368678651 419142251 524284134 737357302 838284502 961187579 1106035953 1257426753 1922375158 2212071906 2514853506 2883562737 4610564761 5767125474 9221129522 13831694283 27663388566 30368761277 60737522554 91106283831 182212567662 334056374047 668112748094 1002169122141 2004338244282 3674620114517 7349240229034 11023860343551 22047720687102