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104005054224 = 243210311096323
BaseRepresentation
bin110000011011100101…
…1110010111100010000
3100221110021212011210100
41200313023302330100
53201000243213344
6115440153132400
710341225242301
oct1406713627420
9327407764710
10104005054224
1140121161675
12181a70ba100
139a664b0806
145068d2c7a8
152a8ab5c569
hex18372f2f10

104005054224 has 120 divisors (see below), whose sum is σ = 294207151680. Its totient is φ = 34295383296.

The previous prime is 104005054187. The next prime is 104005054247. The reversal of 104005054224 is 422450500401.

104005054224 is a `hidden beast` number, since 10 + 40 + 0 + 50 + 542 + 24 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16445527 + ... + 16451849.

It is an arithmetic number, because the mean of its divisors is an integer number (2451726264).

Almost surely, 2104005054224 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 104005054224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147103575840).

104005054224 is an abundant number, since it is smaller than the sum of its proper divisors (190202097456).

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

104005054224 is a wasteful number, since it uses less digits than its factorization.

104005054224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7549 (or 7540 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 104005054224 its reverse (422450500401), we get a palindrome (526455554625).

The spelling of 104005054224 in words is "one hundred four billion, five million, fifty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 103 144 206 309 412 618 824 927 1109 1236 1648 1854 2218 2472 3327 3708 4436 4944 6323 6654 7416 8872 9981 12646 13308 14832 17744 18969 19962 25292 26616 37938 39924 50584 53232 56907 75876 79848 101168 113814 114227 151752 159696 227628 228454 303504 342681 455256 456908 651269 685362 910512 913816 1028043 1302538 1370724 1827632 1953807 2056086 2605076 2741448 3907614 4112172 5210152 5482896 5861421 7012207 7815228 8224344 10420304 11722842 14024414 15630456 16448688 21036621 23445684 28048828 31260912 42073242 46891368 56097656 63109863 84146484 93782736 112195312 126219726 168292968 252439452 336585936 504878904 722257321 1009757808 1444514642 2166771963 2889029284 4333543926 5778058568 6500315889 8667087852 11556117136 13000631778 17334175704 26001263556 34668351408 52002527112 104005054224