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12641420352 = 2631113145691
BaseRepresentation
bin10111100010111110…
…01100010001000000
31012122000001200122210
423301133030101000
5201342200422402
65450221302120
7625160204631
oct136137142100
935560050583
1012641420352
1153a7830240
122549704940
1312660035b2
1487cca7888
154dec2106c
hex2f17cc440

12641420352 has 112 divisors (see below), whose sum is σ = 36767073024. Its totient is φ = 3801408000.

The previous prime is 12641420263. The next prime is 12641420369. The reversal of 12641420352 is 25302414621.

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, 253827 + ... + 299517.

Almost surely, 212641420352 is an apocalyptic number.

12641420352 is a gapful number since it is divisible by the number (12) 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 12641420352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18383536512).

12641420352 is an abundant number, since it is smaller than the sum of its proper divisors (24125652672).

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

12641420352 is a wasteful number, since it uses less digits than its factorization.

12641420352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45848 (or 45838 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 12641420352 its reverse (25302414621), we get a palindrome (37943834973).

The spelling of 12641420352 in words is "twelve billion, six hundred forty-one million, four hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 131 132 176 192 262 264 352 393 524 528 704 786 1048 1056 1441 1572 2096 2112 2882 3144 4192 4323 5764 6288 8384 8646 11528 12576 17292 23056 25152 34584 45691 46112 69168 91382 92224 137073 138336 182764 274146 276672 365528 502601 548292 731056 1005202 1096584 1462112 1507803 2010404 2193168 2924224 3015606 4020808 4386336 5985521 6031212 8041616 8772672 11971042 12062424 16083232 17956563 23942084 24124848 32166464 35913126 47884168 48249696 65840731 71826252 95768336 96499392 131681462 143652504 191536672 197522193 263362924 287305008 383073344 395044386 526725848 574610016 790088772 1053451696 1149220032 1580177544 2106903392 3160355088 4213806784 6320710176 12641420352