Search a number
-
+
557414450010 = 233511238160071
BaseRepresentation
bin10000001110010000111…
…11011000001101011010
31222021210011121222012000
420013020133120031122
533113041044400020
61104023410101430
755162151435415
oct10071037301532
91867704558160
10557414450010
111a5441a1a590
1290044b7a876
1340744024212
141cd9c556b7c
15e7763ac090
hex81c87d835a

557414450010 has 128 divisors (see below), whose sum is σ = 1692072529920. Its totient is φ = 129255508800.

The previous prime is 557414449993. The next prime is 557414450011. The reversal of 557414450010 is 10054414755.

557414450010 is a `hidden beast` number, since 5 + 5 + 7 + 4 + 144 + 500 + 1 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (557414450011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4011726 + ... + 4148345.

It is an arithmetic number, because the mean of its divisors is an integer number (13219316640).

Almost surely, 2557414450010 is an apocalyptic number.

557414450010 is an abundant number, since it is smaller than the sum of its proper divisors (1134658079910).

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

557414450010 is a wasteful number, since it uses less digits than its factorization.

557414450010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8160121 (or 8160115 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

Adding to 557414450010 its reverse (10054414755), we get a palindrome (567468864765).

The spelling of 557414450010 in words is "five hundred fifty-seven billion, four hundred fourteen million, four hundred fifty thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 27 30 33 45 46 54 55 66 69 90 99 110 115 135 138 165 198 207 230 253 270 297 330 345 414 495 506 594 621 690 759 990 1035 1242 1265 1485 1518 2070 2277 2530 2970 3105 3795 4554 6210 6831 7590 11385 13662 22770 34155 68310 8160071 16320142 24480213 40800355 48960426 73440639 81600710 89760781 122401065 146881278 179521562 187681633 220321917 244802130 269282343 367203195 375363266 440643834 448803905 538564686 563044899 734406390 807847029 897607810 938408165 1101609585 1126089798 1346411715 1615694058 1689134697 1876816330 2064497963 2203219170 2423541087 2692823430 2815224495 3378269394 4039235145 4128995926 4847082174 5067404091 5630448990 6193493889 8078470290 8445673485 10134808182 10322489815 12117705435 12386987778 16891346970 18580481667 20644979630 24235410870 25337020455 30967469445 37160963334 50674040910 55741445001 61934938890 92902408335 111482890002 185804816670 278707225005 557414450010