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104004960004 = 2211210721372
BaseRepresentation
bin110000011011100101…
…1011011111100000100
3100221110021200101112201
41200313023123330010
53201000232210004
6115440151124244
710341224400511
oct1406713337404
9327407611481
10104004960004
11401210a7900
12181a7073684
139a6647996a
145068d06308
152a8ab3e6a4
hex18372dbf04

104004960004 has 81 divisors (see below), whose sum is σ = 203431133269. Its totient is φ = 46491311680.

The previous prime is 104004959953. The next prime is 104004960023. The reversal of 104004960004 is 400069400401.

The square root of 104004960004 is 322498.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 61093008900 + 42911951104 = 247170^2 + 207152^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 759160224 + ... + 759160360.

Almost surely, 2104004960004 is an apocalyptic number.

104004960004 is the 322498-th square number.

It is an amenable number.

104004960004 is a deficient number, since it is larger than the sum of its proper divisors (99426173265).

104004960004 is a wasteful number, since it uses less digits than its factorization.

104004960004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 104004960004 in words is "one hundred four billion, four million, nine hundred sixty thousand, four".

Divisors: 1 2 4 11 22 44 107 121 137 214 242 274 428 484 548 1177 1507 2354 3014 4708 6028 11449 12947 14659 16577 18769 22898 25894 29318 33154 37538 45796 51788 58636 66308 75076 125939 161249 206459 251878 322498 412918 503756 644996 825836 1385329 1568513 1773739 2008283 2271049 2770658 3137026 3547478 4016566 4542098 5541316 6274052 7094956 8033132 9084196 17253643 22091113 34507286 44182226 69014572 88364452 189790073 214886281 243002243 379580146 429772562 486004486 759160292 859545124 972008972 2363749091 4727498182 9454996364 26001240001 52002480002 104004960004