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29217970980 = 223251176119391
BaseRepresentation
bin11011001101100001…
…101101101100100100
32210102020202201020100
4123031201231230210
5434314300032410
621231134304100
72053022440602
oct331541555444
983366681210
1029217970980
1111433868060
1257b5058030
1329a8364c33
1415b263a872
15b601518c0
hex6cd86db24

29217970980 has 144 divisors (see below), whose sum is σ = 96816964608. Its totient is φ = 7073472000.

The previous prime is 29217970937. The next prime is 29217970981. The reversal of 29217970980 is 8907971292.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (29217970981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1497085 + ... + 1516475.

It is an arithmetic number, because the mean of its divisors is an integer number (672340032).

Almost surely, 229217970980 is an apocalyptic number.

29217970980 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 29217970980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48408482304).

29217970980 is an abundant number, since it is smaller than the sum of its proper divisors (67598993628).

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

29217970980 is a wasteful number, since it uses less digits than its factorization.

29217970980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20178 (or 20173 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 29217970980 in words is "twenty-nine billion, two hundred seventeen million, nine hundred seventy thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 761 990 1522 1980 2283 3044 3805 4566 6849 7610 8371 9132 11415 13698 15220 16742 19391 22830 25113 27396 33484 34245 38782 41855 45660 50226 58173 68490 75339 77564 83710 96955 100452 116346 125565 136980 150678 167420 174519 193910 213301 232692 251130 290865 301356 349038 376695 387820 426602 502260 581730 639903 698076 753390 853204 872595 1066505 1163460 1279806 1506780 1745190 1919709 2133010 2559612 3199515 3490380 3839418 4266020 6399030 7678836 9598545 12798060 14756551 19197090 29513102 38394180 44269653 59026204 73782755 88539306 132808959 147565510 162322061 177078612 221348265 265617918 295131020 324644122 442696530 486966183 531235836 649288244 664044795 811610305 885393060 973932366 1328089590 1460898549 1623220610 1947864732 2434830915 2656179180 2921797098 3246441220 4869661830 5843594196 7304492745 9739323660 14608985490 29217970980