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20978260875 = 3453111314489
BaseRepresentation
bin10011100010011001…
…101101101110001011
32000011000022001220000
4103202121231232023
5320430413322000
613345352534043
71341601163265
oct234231555613
960130261800
1020978260875
118995754990
1240956b1323
131c94272c20
1410301b4b35
1582baa6000
hex4e266db8b

20978260875 has 160 divisors (see below), whose sum is σ = 45950224320. Its totient is φ = 9388224000.

The previous prime is 20978260861. The next prime is 20978260909. The reversal of 20978260875 is 57806287902.

It is a happy number.

20978260875 is a `hidden beast` number, since 20 + 9 + 7 + 8 + 2 + 608 + 7 + 5 = 666.

It is not a de Polignac number, because 20978260875 - 29 = 20978260363 is a prime.

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 159 ways as a sum of consecutive naturals, for example, 1440631 + ... + 1455119.

It is an arithmetic number, because the mean of its divisors is an integer number (287188902).

Almost surely, 220978260875 is an apocalyptic number.

20978260875 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20978260875 is an abundant number, since it is smaller than the sum of its proper divisors (24971963445).

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

20978260875 is a wasteful number, since it uses less digits than its factorization.

20978260875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14540 (or 14521 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 20978260875 in words is "twenty billion, nine hundred seventy-eight million, two hundred sixty thousand, eight hundred seventy-five".

Divisors: 1 3 5 9 11 13 15 25 27 33 39 45 55 65 75 81 99 117 125 135 143 165 195 225 275 297 325 351 375 405 429 495 585 675 715 825 891 975 1053 1125 1287 1375 1485 1625 1755 2025 2145 2475 2925 3375 3575 3861 4125 4455 4875 5265 6435 7425 8775 10125 10725 11583 12375 14489 14625 17875 19305 22275 26325 32175 37125 43467 43875 53625 57915 72445 96525 111375 130401 131625 159379 160875 188357 217335 289575 362225 391203 478137 482625 565071 652005 796895 941785 1086675 1173609 1434411 1447875 1695213 1811125 1956015 2071927 2390685 2825355 3260025 3984475 4303233 4708925 5085639 5433375 5868045 6215781 7172055 8476065 9780075 10359635 11953425 12909699 14126775 15256917 16300125 18647343 19922375 21516165 23544625 25428195 29340225 31078905 35860275 42380325 48900375 51798175 55942029 59767125 64548495 70633875 76284585 93236715 107580825 127140975 146701125 155394525 167826087 179301375 211901625 258990875 279710145 322742475 381422925 466183575 537904125 635704875 776972625 839130435 1398550725 1613712375 1907114625 2330917875 4195652175 6992753625 20978260875