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12646224648 = 23322924572
BaseRepresentation
bin10111100011100011…
…00001001100001000
31012122100002202220200
423301301201030020
5201344413142043
65450512252200
7625246064421
oct136161411410
935570082820
1012646224648
1153aa511832
12254b241060
131266cc6285
1487d798648
154e036e7d3
hex2f1c61308

12646224648 has 108 divisors (see below), whose sum is σ = 35549747415. Its totient is φ = 4061143296.

The previous prime is 12646224641. The next prime is 12646224653. The reversal of 12646224648 is 84642264621.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

12646224648 is a `hidden beast` number, since 12 + 6 + 4 + 622 + 4 + 6 + 4 + 8 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 11142491364 + 1503733284 = 105558^2 + 38778^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=79518.

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

It is not an unprimeable number, because it can be changed into a prime (12646224641) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27672036 + ... + 27672492.

Almost surely, 212646224648 is an apocalyptic number.

12646224648 is a gapful number since it is divisible by the number (18) 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 12646224648

12646224648 is an abundant number, since it is smaller than the sum of its proper divisors (22903522767).

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

12646224648 is an equidigital number, since it uses as much as digits as its factorization.

12646224648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 491 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The spelling of 12646224648 in words is "twelve billion, six hundred forty-six million, two hundred twenty-four thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 457 522 696 841 914 1044 1371 1682 1828 2088 2523 2742 3364 3656 4113 5046 5484 6728 7569 8226 10092 10968 13253 15138 16452 20184 26506 30276 32904 39759 53012 60552 79518 106024 119277 159036 208849 238554 318072 384337 417698 477108 626547 768674 835396 954216 1153011 1253094 1537348 1670792 1879641 2306022 2506188 3074696 3459033 3759282 4612044 5012376 6056621 6918066 7518564 9224088 12113242 13836132 15037128 18169863 24226484 27672264 36339726 48452968 54509589 72679452 109019178 145358904 175642009 218038356 351284018 436076712 526926027 702568036 1053852054 1405136072 1580778081 2107704108 3161556162 4215408216 6323112324 12646224648