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12218614544 = 2417192981527
BaseRepresentation
bin10110110000100100…
…10100001100010000
31011112112110221010102
423120102110030100
5200010431131134
65340235151532
7611534336633
oct133022241420
934475427112
1012218614544
1152000a8a54
12244bba55a8
1311c9538746
1483ca87c1a
154b7a5537e
hex2d8494310

12218614544 has 80 divisors (see below), whose sum is σ = 27295574400. Its totient is φ = 5259405312.

The previous prime is 12218614523. The next prime is 12218614547. The reversal of 12218614544 is 44541681221.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 12218614498 and 12218614507.

It is not an unprimeable number, because it can be changed into a prime (12218614547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109109 + ... + 190635.

It is an arithmetic number, because the mean of its divisors is an integer number (341194680).

Almost surely, 212218614544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12218614544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13647787200).

12218614544 is an abundant number, since it is smaller than the sum of its proper divisors (15076959856).

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

12218614544 is a wasteful number, since it uses less digits than its factorization.

12218614544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81600 (or 81594 counting only the distinct ones).

The product of its digits is 61440, while the sum is 38.

The spelling of 12218614544 in words is "twelve billion, two hundred eighteen million, six hundred fourteen thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 17 19 29 34 38 58 68 76 116 136 152 232 272 304 323 464 493 551 646 986 1102 1292 1972 2204 2584 3944 4408 5168 7888 8816 9367 18734 37468 74936 81527 149872 163054 326108 652216 1304432 1385959 1549013 2364283 2771918 3098026 4728566 5543836 6196052 9457132 11087672 12392104 18914264 22175344 24784208 26333221 37828528 40192811 44921377 52666442 80385622 89842754 105332884 160771244 179685508 210665768 321542488 359371016 421331536 643084976 718742032 763663409 1527326818 3054653636 6109307272 12218614544