Search a number
-
+
6418061803224 = 23369471162081
BaseRepresentation
bin101110101100101001001…
…0010110011111011011000
3211201120010202120121000000
41131121102102303323120
51320123142310200344
621352230014213000
71231455361131501
oct135312222637330
924646122517000
106418061803224
112054980629955
12877a43ab4160
133772b395a366
141828c8aa9ba8
15b1e36396a69
hex5d6524b3ed8

6418061803224 has 112 divisors (see below), whose sum is σ = 18061613001720. Its totient is φ = 2137093009920.

The previous prime is 6418061803207. The next prime is 6418061803249. The reversal of 6418061803224 is 4223081608146.

6418061803224 is a `hidden beast` number, since 6 + 4 + 1 + 8 + 0 + 618 + 0 + 3 + 2 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6418061803224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4941864 + ... + 6103944.

Almost surely, 26418061803224 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 6418061803224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9030806500860).

6418061803224 is an abundant number, since it is smaller than the sum of its proper divisors (11643551198496).

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

6418061803224 is a wasteful number, since it uses less digits than its factorization.

6418061803224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163052 (or 1163033 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 6418061803224 in words is "six trillion, four hundred eighteen billion, sixty-one million, eight hundred three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 947 972 1458 1894 1944 2841 2916 3788 5682 5832 7576 8523 11364 17046 22728 25569 34092 51138 68184 76707 102276 153414 204552 230121 306828 460242 613656 690363 920484 1162081 1380726 1840968 2324162 2761452 3486243 4648324 5522904 6972486 9296648 10458729 13944972 20917458 27889944 31376187 41834916 62752374 83669832 94128561 125504748 188257122 251009496 282385683 376514244 564771366 753028488 847157049 1100490707 1129542732 1694314098 2200981414 2259085464 3301472121 3388628196 4401962828 6602944242 6777256392 8803925656 9904416363 13205888484 19808832726 26411776968 29713249089 39617665452 59426498178 79235330904 89139747267 118852996356 178279494534 237705992712 267419241801 356558989068 534838483602 713117978136 802257725403 1069676967204 1604515450806 2139353934408 3209030901612 6418061803224