Search a number
-
+
4947093144 = 23367121181
BaseRepresentation
bin1001001101101111…
…01010011010011000
3110202202211101000000
410212313222122120
540112423440034
62134521213000
7233410412040
oct44667523230
913682741000
104947093144
112109561334
12b60931160
1360abc6366
1434d04c720
151de4a5599
hex126dea698

4947093144 has 112 divisors (see below), whose sum is σ = 15894231120. Its totient is φ = 1413443520.

The previous prime is 4947093121. The next prime is 4947093163. The reversal of 4947093144 is 4413907494.

4947093144 is a `hidden beast` number, since 494 + 70 + 93 + 1 + 4 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4947093144.

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 27 ways as a sum of consecutive naturals, for example, 19767 + ... + 101414.

Almost surely, 24947093144 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 4947093144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7947115560).

4947093144 is an abundant number, since it is smaller than the sum of its proper divisors (10947137976).

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

4947093144 is a wasteful number, since it uses less digits than its factorization.

4947093144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121212 (or 121193 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4947093144 is about 70335.5752375709. The cubic root of 4947093144 is about 1703.9232508578.

The spelling of 4947093144 in words is "four billion, nine hundred forty-seven million, ninety-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 729 756 972 1134 1458 1512 1701 1944 2268 2916 3402 4536 5103 5832 6804 10206 13608 20412 40824 121181 242362 363543 484724 727086 848267 969448 1090629 1454172 1696534 2181258 2544801 2908344 3271887 3393068 4362516 5089602 6543774 6786136 7634403 8725032 9815661 10179204 13087548 15268806 19631322 20358408 22903209 26175096 29446983 30537612 39262644 45806418 58893966 61075224 68709627 78525288 88340949 91612836 117787932 137419254 176681898 183225672 206128881 235575864 274838508 353363796 412257762 549677016 618386643 706727592 824515524 1236773286 1649031048 2473546572 4947093144