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20874248304 = 2437134919733
BaseRepresentation
bin10011011100001100…
…111100000001110000
31222212202120200110120
4103130030330001300
5320222301421204
613331155330240
71336166116530
oct233414740160
958782520416
1020874248304
118941a72788
1240668b0980
131c78855c20
14102045b4c0
158228ac6d9
hex4dc33c070

20874248304 has 160 divisors (see below), whose sum is σ = 66511409664. Its totient is φ = 5493519360.

The previous prime is 20874248281. The next prime is 20874248327. The reversal of 20874248304 is 40384247802.

It is an interprime number because it is at equal distance from previous prime (20874248281) and next prime (20874248327).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 2139822 + ... + 2149554.

Almost surely, 220874248304 is an apocalyptic number.

20874248304 is a gapful number since it is divisible by the number (24) 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 20874248304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33255704832).

20874248304 is an abundant number, since it is smaller than the sum of its proper divisors (45637161360).

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

20874248304 is a wasteful number, since it uses less digits than its factorization.

20874248304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10255 (or 10249 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 42.

The spelling of 20874248304 in words is "twenty billion, eight hundred seventy-four million, two hundred forty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 491 546 624 728 982 1092 1456 1473 1964 2184 2946 3437 3928 4368 5892 6383 6874 7856 9733 10311 11784 12766 13748 19149 19466 20622 23568 25532 27496 29199 38298 38932 41244 44681 51064 54992 58398 68131 76596 77864 82488 89362 102128 116796 126529 134043 136262 153192 155728 164976 178724 204393 233592 253058 268086 272524 306384 357448 379587 408786 467184 506116 536172 545048 714896 759174 817572 885703 1012232 1072344 1090096 1518348 1635144 1771406 2024464 2144688 2657109 3036696 3270288 3542812 4778903 5314218 6073392 7085624 9557806 10628436 14171248 14336709 19115612 21256872 28673418 33452321 38231224 42513744 57346836 62125739 66904642 76462448 100356963 114693672 124251478 133809284 186377217 200713926 229387344 248502956 267618568 372754434 401427852 434880173 497005912 535237136 745508868 802855704 869760346 994011824 1304640519 1491017736 1605711408 1739520692 2609281038 2982035472 3479041384 5218562076 6958082768 10437124152 20874248304