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29102708240 = 2453197311389
BaseRepresentation
bin11011000110101010…
…000001011000010000
32210010012212202110222
4123012222001120100
5434100243130430
621211500012212
72050122636614
oct330652013020
983105782428
1029102708240
11113847a14a1
125782531068
13298a509328
1415a11d5344
15b54e849e5
hex6c6a81610

29102708240 has 160 divisors (see below), whose sum is σ = 70975457280. Its totient is φ = 11085004800.

The previous prime is 29102708213. The next prime is 29102708263. The reversal of 29102708240 is 4280720192.

It is a self number, because there is not a number n which added to its sum of digits gives 29102708240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74813966 + ... + 74814354.

It is an arithmetic number, because the mean of its divisors is an integer number (443596608).

Almost surely, 229102708240 is an apocalyptic number.

29102708240 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 29102708240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35487728640).

29102708240 is an abundant number, since it is smaller than the sum of its proper divisors (41872749040).

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

29102708240 is a wasteful number, since it uses less digits than its factorization.

29102708240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The spelling of 29102708240 in words is "twenty-nine billion, one hundred two million, seven hundred eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 97 124 155 194 248 310 311 388 389 485 496 620 622 776 778 970 1240 1244 1552 1555 1556 1940 1945 2480 2488 3007 3110 3112 3880 3890 4976 6014 6220 6224 7760 7780 9641 12028 12059 12440 15035 15560 19282 24056 24118 24880 30070 30167 31120 37733 38564 48112 48205 48236 60140 60295 60334 75466 77128 96410 96472 120280 120590 120668 120979 150835 150932 154256 188665 192820 192944 240560 241180 241336 241958 301670 301864 377330 385640 482360 482672 483916 603340 603728 604895 754660 771280 935177 964720 967832 1169723 1206680 1209790 1509320 1870354 1935664 2339446 2413360 2419580 3018640 3740708 3750349 4675885 4678892 4839160 5848615 7481416 7500698 9351770 9357784 9678320 11697230 11734963 14962832 15001396 18703540 18715568 18751745 23394460 23469926 30002792 37407080 37503490 46788920 46939852 58674815 60005584 74814160 75006980 93577840 93879704 117349630 150013960 187759408 234699260 300027920 363783853 469398520 727567706 938797040 1455135412 1818919265 2910270824 3637838530 5820541648 7275677060 14551354120 29102708240