Search a number
-
+
104005550304 = 25322343365147
BaseRepresentation
bin110000011011100110…
…1101100000011100000
3100221110022210101021200
41200313031230003200
53201000410102204
6115440211521200
710341232406505
oct1406715540340
9327408711250
10104005550304
1140121470357
12181a72b9200
139a66625556
14506901b4ac
152a8ac09539
hex183736c0e0

104005550304 has 144 divisors (see below), whose sum is σ = 315803359872. Its totient is φ = 32389910784.

The previous prime is 104005550293. The next prime is 104005550371. The reversal of 104005550304 is 403055500401.

104005550304 is a `hidden beast` number, since 104 + 0 + 0 + 5 + 550 + 3 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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, 102259 + ... + 467405.

It is an arithmetic number, because the mean of its divisors is an integer number (2193078888).

Almost surely, 2104005550304 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 104005550304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157901679936).

104005550304 is an abundant number, since it is smaller than the sum of its proper divisors (211797809568).

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

104005550304 is a wasteful number, since it uses less digits than its factorization.

104005550304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365229 (or 365218 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 104005550304 in words is "one hundred four billion, five million, five hundred fifty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 43 46 48 69 72 86 92 96 129 138 144 172 184 207 258 276 288 344 368 387 414 516 552 688 736 774 828 989 1032 1104 1376 1548 1656 1978 2064 2208 2967 3096 3312 3956 4128 5934 6192 6624 7912 8901 11868 12384 15824 17802 23736 31648 35604 47472 71208 94944 142416 284832 365147 730294 1095441 1460588 2190882 2921176 3286323 4381764 5842352 6572646 8398381 8763528 11684704 13145292 15701321 16796762 17527056 25195143 26290584 31402642 33593524 35054112 47103963 50390286 52581168 62805284 67187048 75585429 94207926 100780572 105162336 125610568 134374096 141311889 151170858 188415852 201561144 251221136 268748192 282623778 302341716 361130383 376831704 403122288 502442272 565247556 604683432 722260766 753663408 806244576 1083391149 1130495112 1209366864 1444521532 1507326816 2166782298 2260990224 2418733728 2889043064 3250173447 4333564596 4521980448 5778086128 6500346894 8667129192 11556172256 13000693788 17334258384 26001387576 34668516768 52002775152 104005550304