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20004321150320 = 24513179779313789
BaseRepresentation
bin1001000110001100111100…
…11101001100010101110000
32121211101122112110200112012
410203012132131030111300
510110222322203302240
6110313505215222052
74133156504134523
oct443063635142560
977741575420465
1020004321150320
11641286a861251
1222b0b7a817928
13b215265ca110
144d23000ccbba
1524a5593e6b65
hex12319e74c570

20004321150320 has 160 divisors (see below), whose sum is σ = 50377678747200. Its totient is φ = 7343472033792.

The previous prime is 20004321150301. The next prime is 20004321150323. The reversal of 20004321150320 is 2305112340002.

It is a super-2 number, since 2×200043211503202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20004321150323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1450737986 + ... + 1450751774.

It is an arithmetic number, because the mean of its divisors is an integer number (314860492170).

Almost surely, 220004321150320 is an apocalyptic number.

20004321150320 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 20004321150320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25188839373600).

20004321150320 is an abundant number, since it is smaller than the sum of its proper divisors (30373357596880).

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

20004321150320 is a wasteful number, since it uses less digits than its factorization.

20004321150320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21787 (or 21781 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 20004321150320 its reverse (2305112340002), we get a palindrome (22309433490322).

The spelling of 20004321150320 in words is "twenty trillion, four billion, three hundred twenty-one million, one hundred fifty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 179 208 260 358 520 716 895 1040 1432 1790 2327 2864 3580 4654 7160 7793 9308 11635 13789 14320 15586 18616 23270 27578 31172 37232 38965 46540 55156 62344 68945 77930 93080 101309 110312 124688 137890 155860 179257 186160 202618 220624 275780 311720 358514 405236 506545 551560 623440 717028 810472 896285 1013090 1103120 1394947 1434056 1620944 1792570 2026180 2468231 2789894 2868112 3585140 4052360 4936462 5579788 6974735 7170280 8104720 9872924 11159576 12341155 13949470 14340560 18134311 19745848 22319152 24682310 27898940 32087003 36268622 39491696 49364620 55797880 64174006 72537244 90671555 98729240 107457677 111595760 128348012 145074488 160435015 181343110 197458480 214915354 256696024 290148976 320870030 362686220 429830708 513392048 537288385 641740060 725372440 859661416 1074576770 1283480120 1396949801 1450744880 1719322832 2149153540 2566960240 2793899602 4298307080 5587799204 6984749005 8596614160 11175598408 13969498010 19234924183 22351196816 27938996020 38469848366 55877992040 76939696732 96174620915 111755984080 153879393464 192349241830 250054014379 307758786928 384698483660 500108028758 769396967320 1000216057516 1250270071895 1538793934640 2000432115032 2500540143790 4000864230064 5001080287580 10002160575160 20004321150320