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18253192914 = 2331132291109
BaseRepresentation
bin10000111111111110…
…011001111011010010
31202010002121021102000
4100333332121323102
5244340304133124
612215125134430
71214221402605
oct207776317322
952102537360
1018253192914
1178174a7000
123654b5a416
13194b820388
14c522d833c
1571c71d6c9
hex43ff99ed2

18253192914 has 128 divisors (see below), whose sum is σ = 44851104000. Its totient is φ = 5502150720.

The previous prime is 18253192913. The next prime is 18253192949. The reversal of 18253192914 is 41929135281.

18253192914 is a `hidden beast` number, since 1 + 82 + 531 + 9 + 29 + 14 = 666.

It is a super-2 number, since 2×182531929142 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 18253192914.

It is not an unprimeable number, because it can be changed into a prime (18253192913) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16458592 + ... + 16459700.

It is an arithmetic number, because the mean of its divisors is an integer number (350399250).

Almost surely, 218253192914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18253192914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22425552000).

18253192914 is an abundant number, since it is smaller than the sum of its proper divisors (26597911086).

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

18253192914 is a wasteful number, since it uses less digits than its factorization.

18253192914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1354 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The spelling of 18253192914 in words is "eighteen billion, two hundred fifty-three million, one hundred ninety-two thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 229 242 297 363 458 594 687 726 1089 1109 1331 1374 2061 2178 2218 2519 2662 3267 3327 3993 4122 5038 6183 6534 6654 7557 7986 9981 11979 12199 12366 15114 19962 22671 23958 24398 27709 29943 35937 36597 45342 55418 59886 68013 71874 73194 83127 109791 134189 136026 166254 219582 249381 253961 268378 304799 329373 402567 498762 507922 609598 658746 748143 761883 805134 914397 1207701 1476079 1496286 1523766 1828794 2285649 2415402 2743191 2793571 2952158 3623103 4428237 4571298 5486382 5587142 6856947 7246206 8229573 8380713 8856474 13284711 13713894 16459146 16761426 25142139 26569422 30729281 39854133 50284278 61458562 75426417 79708266 92187843 150852834 184375686 276563529 338022091 553127058 676044182 829690587 1014066273 1659381174 2028132546 3042198819 6084397638 9126596457 18253192914