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12634464444 = 22373712732009
BaseRepresentation
bin10111100010001001…
…01010000010111100
31012121111222021221120
423301010222002330
5201333410330234
65445412230540
7625044114210
oct136104520274
935544867846
1012634464444
1153a390a158
12254730b450
131264739484
1487bdb6940
154de2ea049
hex2f112a0bc

12634464444 has 96 divisors (see below), whose sum is σ = 34876047360. Its totient is φ = 3484518912.

The previous prime is 12634464421. The next prime is 12634464457. The reversal of 12634464444 is 44446443621.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12634464396 and 12634464405.

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, 378712 + ... + 410720.

It is an arithmetic number, because the mean of its divisors is an integer number (363292160).

Almost surely, 212634464444 is an apocalyptic number.

12634464444 is a gapful number since it is divisible by the number (14) 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 12634464444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17438023680).

12634464444 is an abundant number, since it is smaller than the sum of its proper divisors (22241582916).

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

12634464444 is a wasteful number, since it uses less digits than its factorization.

12634464444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32187 (or 32185 counting only the distinct ones).

The product of its digits is 884736, while the sum is 42.

The spelling of 12634464444 in words is "twelve billion, six hundred thirty-four million, four hundred sixty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 127 148 222 254 259 381 444 508 518 762 777 889 1036 1524 1554 1778 2667 3108 3556 4699 5334 9398 10668 14097 18796 28194 32009 32893 56388 64018 65786 96027 98679 128036 131572 192054 197358 224063 384108 394716 448126 672189 896252 1184333 1344378 2368666 2688756 3552999 4065143 4737332 7105998 8130286 8290331 12195429 14211996 16260572 16580662 24390858 24870993 28456001 33161324 48781716 49741986 56912002 85368003 99483972 113824004 150410291 170736006 300820582 341472012 451230873 601641164 902461746 1052872037 1804923492 2105744074 3158616111 4211488148 6317232222 12634464444