Search a number
-
+
649644012000 = 25325318045667
BaseRepresentation
bin10010111010000011100…
…11001111000111100000
32022002211210211011101100
421131001303033013200
541120432331341000
61214235313434400
764635532663614
oct11350163170740
92262753734340
10649644012000
11230570121595
12a5aa456ba00
1349351a28639
142362b5c9344
1511d73344a00
hex9741ccf1e0

649644012000 has 144 divisors (see below), whose sum is σ = 2305586726352. Its totient is φ = 173238393600.

The previous prime is 649644011983. The next prime is 649644012001. The reversal of 649644012000 is 210446946.

649644012000 is a `hidden beast` number, since 6 + 4 + 9 + 6 + 440 + 1 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×6496440120002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649644012001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8986834 + ... + 9058833.

It is an arithmetic number, because the mean of its divisors is an integer number (16011018933).

Almost surely, 2649644012000 is an apocalyptic number.

649644012000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

649644012000 is an abundant number, since it is smaller than the sum of its proper divisors (1655942714352).

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

649644012000 is a wasteful number, since it uses less digits than its factorization.

649644012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18045698 (or 18045677 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 649644012000 its reverse (210446946), we get a palindrome (649854458946).

The spelling of 649644012000 in words is "six hundred forty-nine billion, six hundred forty-four million, twelve thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 125 144 150 160 180 200 225 240 250 288 300 360 375 400 450 480 500 600 720 750 800 900 1000 1125 1200 1440 1500 1800 2000 2250 2400 3000 3600 4000 4500 6000 7200 9000 12000 18000 36000 18045667 36091334 54137001 72182668 90228335 108274002 144365336 162411003 180456670 216548004 270685005 288730672 324822006 360913340 433096008 451141675 541370010 577461344 649644012 721826680 812055015 866192016 902283350 1082740020 1299288024 1353425025 1443653360 1624110030 1732384032 1804566700 2165480040 2255708375 2598576048 2706850050 2887306720 3248220060 3609133400 4060275075 4330960080 4511416750 5197152096 5413700100 6496440120 6767125125 7218266800 8120550150 8661920160 9022833500 10827400200 12992880240 13534250250 14436533600 16241100300 18045667000 20301375375 21654800400 25985760480 27068500500 32482200600 36091334000 40602750750 43309600800 54137001000 64964401200 72182668000 81205501500 108274002000 129928802400 162411003000 216548004000 324822006000 649644012000