Search a number
-
+
5150414055204 = 22321183349448997
BaseRepresentation
bin100101011110010110010…
…0110011010011100100100
3200020101010012200211020200
41022330230212122130210
51133341021444231304
614542022331430500
71041051030064335
oct112745446323444
920211105624220
105150414055204
1117063075104a0
126b22272b5430
132b48b33665b2
1413b3d211a28c
158de9283de39
hex4af2c99a724

5150414055204 has 144 divisors (see below), whose sum is σ = 14414990990400. Its totient is φ = 1537505982720.

The previous prime is 5150414055191. The next prime is 5150414055223. The reversal of 5150414055204 is 4025504140515.

5150414055204 is a `hidden beast` number, since 5 + 1 + 5 + 0 + 41 + 405 + 5 + 204 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11246434 + ... + 11695430.

It is an arithmetic number, because the mean of its divisors is an integer number (100104104100).

Almost surely, 25150414055204 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 5150414055204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7207495495200).

5150414055204 is an abundant number, since it is smaller than the sum of its proper divisors (9264576935196).

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

5150414055204 is a wasteful number, since it uses less digits than its factorization.

5150414055204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449450 (or 449445 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

Adding to 5150414055204 its reverse (4025504140515), we get a palindrome (9175918195719).

The spelling of 5150414055204 in words is "five trillion, one hundred fifty billion, four hundred fourteen million, fifty-five thousand, two hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 83 99 132 166 198 249 332 349 396 498 698 747 913 996 1047 1396 1494 1826 2094 2739 2988 3141 3652 3839 4188 5478 6282 7678 8217 10956 11517 12564 15356 16434 23034 28967 32868 34551 46068 57934 69102 86901 115868 138204 173802 260703 318637 347604 448997 521406 637274 897994 955911 1042812 1274548 1346991 1795988 1911822 2693982 2867733 3823644 4040973 4938967 5387964 5735466 8081946 9877934 11470932 14816901 16163892 19755868 29633802 37266751 44450703 59267604 74533502 88901406 111800253 149067004 156699953 177802812 223600506 313399906 335400759 409934261 447201012 470099859 626799812 670801518 819868522 940199718 1229802783 1341603036 1410299577 1639737044 1723699483 1880399436 2459605566 2820599154 3447398966 3689408349 4919211132 5171098449 5641198308 6894797932 7378816698 10342196898 13006096099 14757633396 15513295347 20684393796 26012192198 31026590694 39018288297 52024384396 62053181388 78036576594 117054864891 143067057089 156073153188 234109729782 286134114178 429201171267 468219459564 572268228356 858402342534 1287603513801 1716804685068 2575207027602 5150414055204