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12644214000 = 2435311191579
BaseRepresentation
bin10111100011010011…
…10110010011110000
31012122012022121211020
423301221312103300
5201343404322000
65450401215440
7625223021445
oct136151662360
935565277736
1012644214000
1153a9369140
12254a631580
131266771042
1487d3d39cc
154e00c3ba0
hex2f1a764f0

12644214000 has 160 divisors (see below), whose sum is σ = 44471082240. Its totient is φ = 3065248000.

The previous prime is 12644213999. The next prime is 12644214041. The reversal of 12644214000 is 41244621.

It is a happy number.

It is a super-2 number, since 2×126442140002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 29790 + ... + 161789.

It is an arithmetic number, because the mean of its divisors is an integer number (277944264).

Almost surely, 212644214000 is an apocalyptic number.

12644214000 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 12644214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22235541120).

12644214000 is an abundant number, since it is smaller than the sum of its proper divisors (31826868240).

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

12644214000 is a wasteful number, since it uses less digits than its factorization.

12644214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191616 (or 191600 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12644214000 its reverse (41244621), we get a palindrome (12685458621).

The spelling of 12644214000 in words is "twelve billion, six hundred forty-four million, two hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 191579 383158 574737 766316 957895 1149474 1532632 1915790 2107369 2298948 2873685 3065264 3831580 4214738 4597896 4789475 5747370 6322107 7663160 8429476 9195792 9578950 10536845 11494740 12644214 14368425 15326320 16858952 19157900 21073690 22989480 23947375 25288428 28736850 31610535 33717904 38315800 42147380 45978960 47894750 50576856 52684225 57473700 63221070 71842125 76631600 84294760 95789500 101153712 105368450 114947400 126442140 143684250 158052675 168589520 191579000 210736900 229894800 252884280 263421125 287368500 316105350 383158000 421473800 505768560 526842250 574737000 632210700 790263375 842947600 1053684500 1149474000 1264421400 1580526750 2107369000 2528842800 3161053500 4214738000 6322107000 12644214000