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12486243840 = 29357232259
BaseRepresentation
bin10111010000011110…
…01111011000000000
31012020012001220111120
423220033033120000
5201032434300330
65422555312240
7621264215160
oct135017173000
935205056446
1012486243840
115328182894
12250574b680
13123cb11485
148664325a0
154d12bcc10
hex2e83cf600

12486243840 has 160 divisors (see below), whose sum is σ = 45619580160. Its totient is φ = 2853986304.

The previous prime is 12486243823. The next prime is 12486243863. The reversal of 12486243840 is 4834268421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 12486243792 and 12486243801.

It is a congruent number.

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, 62370 + ... + 169889.

It is an arithmetic number, because the mean of its divisors is an integer number (285122376).

Almost surely, 212486243840 is an apocalyptic number.

12486243840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12486243840 is an abundant number, since it is smaller than the sum of its proper divisors (33133336320).

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

12486243840 is an equidigital number, since it uses as much as digits as its factorization.

12486243840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232292 (or 232276 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 12486243840 in words is "twelve billion, four hundred eighty-six million, two hundred forty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 512 560 640 672 768 840 896 960 1120 1280 1344 1536 1680 1792 1920 2240 2560 2688 3360 3584 3840 4480 5376 6720 7680 8960 10752 13440 17920 26880 53760 232259 464518 696777 929036 1161295 1393554 1625813 1858072 2322590 2787108 3251626 3483885 3716144 4645180 4877439 5574216 6503252 6967770 7432288 8129065 9290360 9754878 11148432 13006504 13935540 14864576 16258130 18580720 19509756 22296864 24387195 26013008 27871080 29729152 32516260 37161440 39019512 44593728 48774390 52026016 55742160 59458304 65032520 74322880 78039024 89187456 97548780 104052032 111484320 118916608 130065040 148645760 156078048 178374912 195097560 208104064 222968640 260130080 297291520 312156096 356749824 390195120 416208128 445937280 520260160 594583040 624312192 780390240 832416256 891874560 1040520320 1248624384 1560780480 1783749120 2081040640 2497248768 3121560960 4162081280 6243121920 12486243840