Search a number
-
+
12424520000 = 2654383811
BaseRepresentation
bin10111001001000111…
…10010000101000000
31012001212221000022102
423210203302011000
5200421134120000
65412512325532
7616614451244
oct134443620500
935055830272
1012424520000
1152a6354852
1224a8b438a8
1312300ac9a9
1485c166424
154cab793d5
hex2e48f2140

12424520000 has 140 divisors (see below), whose sum is σ = 30927300096. Its totient is φ = 4950720000.

The previous prime is 12424519997. The next prime is 12424520047. The reversal of 12424520000 is 2542421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 15319595 + ... + 15320405.

Almost surely, 212424520000 is an apocalyptic number.

12424520000 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 12424520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15463650048).

12424520000 is an abundant number, since it is smaller than the sum of its proper divisors (18502780096).

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

12424520000 is an frugal number, since it uses more digits than its factorization.

12424520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The spelling of 12424520000 in words is "twelve billion, four hundred twenty-four million, five hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 383 400 500 625 766 800 811 1000 1250 1532 1600 1622 1915 2000 2500 3064 3244 3830 4000 4055 5000 6128 6488 7660 8000 8110 9575 10000 12256 12976 15320 16220 19150 20000 20275 24512 25952 30640 32440 38300 40000 40550 47875 51904 61280 64880 76600 81100 95750 101375 122560 129760 153200 162200 191500 202750 239375 259520 306400 310613 324400 383000 405500 478750 506875 612800 621226 648800 766000 811000 957500 1013750 1242452 1297600 1532000 1553065 1622000 1915000 2027500 2484904 3064000 3106130 3244000 3830000 4055000 4969808 6212260 6488000 7660000 7765325 8110000 9939616 12424520 15320000 15530650 16220000 19879232 24849040 31061300 32440000 38826625 49698080 62122600 77653250 99396160 124245200 155306500 194133125 248490400 310613000 388266250 496980800 621226000 776532500 1242452000 1553065000 2484904000 3106130000 6212260000 12424520000