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243385974160 = 24576723772729
BaseRepresentation
bin1110001010101011101…
…1110011110110010000
3212021012222122112100021
43202222323303312100
512441423302133120
6303450542033224
723404221434410
oct3425273636620
9767188575307
10243385974160
119424604579a
123b205578814
1319c49a26434
14bacc248640
1564e7342aaa
hex38aaef3d90

243385974160 has 160 divisors (see below), whose sum is σ = 656880456960. Its totient is φ = 82136457216.

The previous prime is 243385974151. The next prime is 243385974173. The reversal of 243385974160 is 61479583342.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 243385974098 and 243385974107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89183676 + ... + 89186404.

It is an arithmetic number, because the mean of its divisors is an integer number (4105502856).

It is a 1-persistent number, because it is pandigital, but 2⋅243385974160 = 486771948320 is not.

Almost surely, 2243385974160 is an apocalyptic number.

243385974160 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 243385974160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328440228480).

243385974160 is an abundant number, since it is smaller than the sum of its proper divisors (413494482800).

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

243385974160 is a wasteful number, since it uses less digits than its factorization.

243385974160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5193 (or 5187 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 243385974160 in words is "two hundred forty-three billion, three hundred eighty-five million, nine hundred seventy-four thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 67 70 80 112 134 140 268 280 335 469 536 560 670 938 1072 1340 1876 2345 2377 2680 2729 3752 4690 4754 5360 5458 7504 9380 9508 10916 11885 13645 16639 18760 19016 19103 21832 23770 27290 33278 37520 38032 38206 43664 47540 54580 66556 76412 83195 95080 95515 109160 133112 152824 159259 166390 182843 190160 191030 218320 266224 305648 318518 332780 365686 382060 637036 665560 731372 764120 796295 914215 1114813 1274072 1279901 1331120 1462744 1528240 1592590 1828430 2229626 2548144 2559802 2925488 3185180 3656860 4459252 5119604 5574065 6370360 6399505 6486833 7313720 8918504 10239208 11148130 12740720 12799010 12973666 14627440 17837008 20478416 22296260 25598020 25947332 32434165 44592520 45407831 51196040 51894664 64868330 89185040 90815662 102392080 103789328 129736660 181631324 227039155 259473320 363262648 434617811 454078310 518946640 726525296 869235622 908156620 1738471244 1816313240 2173089055 3042324677 3476942488 3632626480 4346178110 6084649354 6953884976 8692356220 12169298708 15211623385 17384712440 24338597416 30423246770 34769424880 48677194832 60846493540 121692987080 243385974160