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11234289920 = 285710911503
BaseRepresentation
bin10100111011001110…
…11010100100000000
31001222221022001120212
422131213122210000
5141001434234140
65054433453252
7545252613560
oct123547324400
931887261525
1011234289920
114845511327
122216411228
1310a0629439
1478805ada0
1545b41d765
hex29d9da900

11234289920 has 144 divisors (see below), whose sum is σ = 31038712320. Its totient is φ = 3816087552.

The previous prime is 11234289917. The next prime is 11234289949. The reversal of 11234289920 is 2998243211.

It is a super-2 number, since 2×112342899202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 970889 + ... + 982391.

Almost surely, 211234289920 is an apocalyptic number.

11234289920 is a gapful number since it is divisible by the number (10) 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 11234289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15519356160).

11234289920 is an abundant number, since it is smaller than the sum of its proper divisors (19804422400).

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

11234289920 is a wasteful number, since it uses less digits than its factorization.

11234289920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11640 (or 11626 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The spelling of 11234289920 in words is "eleven billion, two hundred thirty-four million, two hundred eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 109 112 128 140 160 218 224 256 280 320 436 448 545 560 640 763 872 896 1090 1120 1280 1526 1744 1792 2180 2240 3052 3488 3815 4360 4480 6104 6976 7630 8720 8960 11503 12208 13952 15260 17440 23006 24416 27904 30520 34880 46012 48832 57515 61040 69760 80521 92024 97664 115030 122080 139520 161042 184048 195328 230060 244160 322084 368096 402605 460120 488320 644168 736192 805210 920240 976640 1253827 1288336 1472384 1610420 1840480 2507654 2576672 2944768 3220840 3680960 5015308 5153344 6269135 6441680 7361920 8776789 10030616 10306688 12538270 12883360 14723840 17553578 20061232 20613376 25076540 25766720 35107156 40122464 43883945 50153080 51533440 70214312 80244928 87767890 100306160 103066880 140428624 160489856 175535780 200612320 280857248 320979712 351071560 401224640 561714496 702143120 802449280 1123428992 1404286240 1604898560 2246857984 2808572480 5617144960 11234289920