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20853652560 = 2435137618783
BaseRepresentation
bin10011011010111110…
…010111110001010000
31222211022211022102020
4103122332113301100
5320202013340220
613325142051440
71335526056606
oct233276276120
958738738366
1020853652560
118931385904
12405ba19b80
131c744c45b0
14101b819876
15820b90040
hex4daf97c50

20853652560 has 160 divisors (see below), whose sum is σ = 69718537728. Its totient is φ = 5125877760.

The previous prime is 20853652553. The next prime is 20853652571. The reversal of 20853652560 is 6525635802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2369929 + ... + 2378711.

Almost surely, 220853652560 is an apocalyptic number.

20853652560 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 20853652560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34859268864).

20853652560 is an abundant number, since it is smaller than the sum of its proper divisors (48864885168).

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

20853652560 is a wasteful number, since it uses less digits than its factorization.

20853652560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9573 (or 9567 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 20853652560 in words is "twenty billion, eight hundred fifty-three million, six hundred fifty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 761 780 1040 1522 1560 2283 3044 3120 3805 4566 6088 7610 8783 9132 9893 11415 12176 15220 17566 18264 19786 22830 26349 29679 30440 35132 36528 39572 43915 45660 49465 52698 59358 60880 70264 79144 87830 91320 98930 105396 114179 118716 131745 140528 148395 158288 175660 182640 197860 210792 228358 237432 263490 296790 342537 351320 395720 421584 456716 474864 526980 570895 593580 685074 702640 791440 913432 1053960 1141790 1187160 1370148 1712685 1826864 2107920 2283580 2374320 2740296 3425370 4567160 5480592 6683863 6850740 9134320 13367726 13701480 20051589 26735452 27402960 33419315 40103178 53470904 66838630 80206356 86890219 100257945 106941808 133677260 160412712 173780438 200515890 260670657 267354520 320825424 347560876 401031780 434451095 521341314 534709040 695121752 802063560 868902190 1042682628 1303353285 1390243504 1604127120 1737804380 2085365256 2606706570 3475608760 4170730512 5213413140 6951217520 10426826280 20853652560