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21429786980808 = 2334295472084767
BaseRepresentation
bin1001101111101100000101…
…10101110011000111001000
32210212200000200220201010000
410313312002311303013020
510302101200431341213
6113324412551123000
74341152045600403
oct467660265630710
983780020821100
1021429786980808
11691235a093938
1224a12a0373460
13bc5a880ba82b
145412c88a0d3a
15272688092c73
hex137d82d731c8

21429786980808 has 160 divisors (see below), whose sum is σ = 62206558444800. Its totient is φ = 6884330963328.

The previous prime is 21429786980773. The next prime is 21429786980843. The reversal of 21429786980808 is 80808968792412.

It is an interprime number because it is at equal distance from previous prime (21429786980773) and next prime (21429786980843).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9236841 + ... + 11321607.

It is an arithmetic number, because the mean of its divisors is an integer number (388790990280).

Almost surely, 221429786980808 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 21429786980808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31103279222400).

21429786980808 is an abundant number, since it is smaller than the sum of its proper divisors (40776771463992).

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

21429786980808 is a wasteful number, since it uses less digits than its factorization.

21429786980808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085361 (or 2085348 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 72.

The spelling of 21429786980808 in words is "twenty-one trillion, four hundred twenty-nine billion, seven hundred eighty-six million, nine hundred eighty thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 261 324 348 522 547 648 696 783 1044 1094 1566 1641 2088 2188 2349 3132 3282 4376 4698 4923 6264 6564 9396 9846 13128 14769 15863 18792 19692 29538 31726 39384 44307 47589 59076 63452 88614 95178 118152 126904 142767 177228 190356 285534 354456 380712 428301 571068 856602 1142136 1284903 1713204 2084767 2569806 3426408 4169534 5139612 6254301 8339068 10279224 12508602 16678136 18762903 25017204 37525806 50034408 56288709 60458243 75051612 112577418 120916486 150103224 168866127 181374729 225154836 241832972 337732254 362749458 450309672 483665944 544124187 675464508 725498916 1088248374 1140367549 1350929016 1450997832 1632372561 2176496748 2280735098 3264745122 3421102647 4352993496 4561470196 4897117683 6529490244 6842205294 9122940392 9794235366 10263307941 13058980488 13684410588 19588470732 20526615882 27368821176 30789923823 33070658921 39176941464 41053231764 61579847646 66141317842 82106463528 92369771469 99211976763 123159695292 132282635684 184739542938 198423953526 246319390584 264565271368 297635930289 369479085876 396847907052 595271860578 738958171752 793695814104 892907790867 1190543721156 1785815581734 2381087442312 2678723372601 3571631163468 5357446745202 7143262326936 10714893490404 21429786980808