Search a number
-
+
5418208422 = 235112199463
BaseRepresentation
bin1010000101111001…
…10100110010100110
3111222121022111200000
411002330310302212
542044030132142
62253351002130
7251161004004
oct50274646246
914877274600
105418208422
11233048a200
121072669346
136846a6cb3
14395845a74
1521aa1514c
hex142f34ca6

5418208422 has 144 divisors (see below), whose sum is σ = 13477900800. Its totient is φ = 1630102320.

The previous prime is 5418208403. The next prime is 5418208423. The reversal of 5418208422 is 2248028145.

5418208422 is a `hidden beast` number, since 54 + 182 + 0 + 8 + 422 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5418208423) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11702163 + ... + 11702625.

Almost surely, 25418208422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5418208422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6738950400).

5418208422 is an abundant number, since it is smaller than the sum of its proper divisors (8059692378).

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

5418208422 is a wasteful number, since it uses less digits than its factorization.

5418208422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 5418208422 is about 73608.4806391220. The cubic root of 5418208422 is about 1756.3803473085.

The spelling of 5418208422 in words is "five billion, four hundred eighteen million, two hundred eight thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 199 242 243 297 363 398 463 486 594 597 726 891 926 1089 1194 1389 1782 1791 2178 2189 2673 2778 3267 3582 4167 4378 5093 5346 5373 6534 6567 8334 9801 10186 10746 12501 13134 15279 16119 19602 19701 24079 25002 29403 30558 32238 37503 39402 45837 48158 48357 56023 58806 59103 72237 75006 91674 92137 96714 112046 112509 118206 137511 144474 168069 177309 184274 216711 225018 275022 276411 336138 354618 412533 433422 504207 531927 552822 650133 825066 829233 1008414 1013507 1063854 1237599 1300266 1512621 1658466 1950399 2027014 2475198 2487699 3025242 3040521 3900798 4537863 4975398 5851197 6081042 7463097 9075726 9121563 11148577 11702394 13613589 14926194 18243126 22297154 22389291 27227178 27364689 33445731 44778582 54729378 66891462 82094067 100337193 164188134 200674386 246282201 301011579 492564402 602023158 903034737 1806069474 2709104211 5418208422