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18219544448 = 277194324889
BaseRepresentation
bin10000111101111110…
…000010111110000000
31202000202021202101112
4100331332002332000
5244303200410243
612211524022452
71213332400250
oct207576027600
952022252345
1018219544448
1177aa504456
123645831a28
13194486b841
14c4ba59960
157197c3818
hex43df82f80

18219544448 has 128 divisors (see below), whose sum is σ = 44682528000. Its totient is φ = 7225085952.

The previous prime is 18219544397. The next prime is 18219544459. The reversal of 18219544448 is 84444591281.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 18219544396 and 18219544405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 719588 + ... + 744476.

It is an arithmetic number, because the mean of its divisors is an integer number (349082250).

Almost surely, 218219544448 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 18219544448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22341264000).

18219544448 is an abundant number, since it is smaller than the sum of its proper divisors (26462983552).

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

18219544448 is a wasteful number, since it uses less digits than its factorization.

18219544448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24972 (or 24960 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 50.

The spelling of 18219544448 in words is "eighteen billion, two hundred nineteen million, five hundred forty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 43 56 64 76 86 112 128 133 152 172 224 266 301 304 344 448 532 602 608 688 817 896 1064 1204 1216 1376 1634 2128 2408 2432 2752 3268 4256 4816 5504 5719 6536 8512 9632 11438 13072 17024 19264 22876 24889 26144 38528 45752 49778 52288 91504 99556 104576 174223 183008 199112 348446 366016 398224 472891 696892 732032 796448 945782 1070227 1393784 1592896 1891564 2140454 2787568 3185792 3310237 3783128 4280908 5575136 6620474 7491589 7566256 8561816 11150272 13240948 14983178 15132512 17123632 20334313 22300544 26481896 29966356 30265024 34247264 40668626 52963792 59932712 60530048 68494528 81337252 105927584 119865424 136989056 142340191 162674504 211855168 239730848 284680382 325349008 423710336 479461696 569360764 650698016 958923392 1138721528 1301396032 2277443056 2602792064 4554886112 9109772224 18219544448