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20443539168 = 25321337314639
BaseRepresentation
bin10011000010100001…
…111010011011100000
31221202202010101121100
4103002201322123200
5313332021223133
613220331554400
71322416134003
oct230241723340
957682111540
1020443539168
118740932618
123b665bba00
131c0a551950
14dbd18153a
157e9b7ee13
hex4c287a6e0

20443539168 has 144 divisors (see below), whose sum is σ = 62780477760. Its totient is φ = 6273027072.

The previous prime is 20443539133. The next prime is 20443539169. The reversal of 20443539168 is 86193534402.

20443539168 is a `hidden beast` number, since 20 + 4 + 435 + 39 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20443539169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1389193 + ... + 1403831.

It is an arithmetic number, because the mean of its divisors is an integer number (435975540).

Almost surely, 220443539168 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 20443539168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31390238880).

20443539168 is an abundant number, since it is smaller than the sum of its proper divisors (42336938592).

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

20443539168 is a wasteful number, since it uses less digits than its factorization.

20443539168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15041 (or 15030 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 20443539168 in words is "twenty billion, four hundred forty-three million, five hundred thirty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 373 416 468 624 746 936 1119 1248 1492 1872 2238 2984 3357 3744 4476 4849 5968 6714 8952 9698 11936 13428 14547 14639 17904 19396 26856 29094 29278 35808 38792 43641 43917 53712 58188 58556 77584 87282 87834 107424 116376 117112 131751 155168 174564 175668 190307 232752 234224 263502 349128 351336 380614 465504 468448 527004 570921 698256 702672 761228 1054008 1141842 1396512 1405344 1522456 1712763 2108016 2283684 3044912 3425526 4216032 4567368 5460347 6089824 6851052 9134736 10920694 13702104 16381041 18269472 21841388 27404208 32762082 43682776 49143123 54808416 65524164 70984511 87365552 98286246 131048328 141969022 174731104 196572492 212953533 262096656 283938044 393144984 425907066 524193312 567876088 638860599 786289968 851814132 1135752176 1277721198 1572579936 1703628264 2271504352 2555442396 3407256528 5110884792 6814513056 10221769584 20443539168