Search a number
-
+
5259030568110 = 2345113071922603
BaseRepresentation
bin100110010000111011010…
…1001100001110010101110
3200121202110212211101010000
41030201312221201302232
51142130443311134420
615103544300325130
71051644452155614
oct114416651416256
920552425741100
105259030568110
111748384720240
1270b29a8437a6
132c1c03046b87
141427776896b4
1591bed254690
hex4c876a61cae

5259030568110 has 160 divisors (see below), whose sum is σ = 15476746868352. Its totient is φ = 1270763017920.

The previous prime is 5259030568109. The next prime is 5259030568153. The reversal of 5259030568110 is 118650309525.

5259030568110 is a `hidden beast` number, since 5 + 2 + 59 + 0 + 30 + 568 + 1 + 1 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1774069 + ... + 3696671.

Almost surely, 25259030568110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5259030568110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7738373434176).

5259030568110 is an abundant number, since it is smaller than the sum of its proper divisors (10217716300242).

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

5259030568110 is a wasteful number, since it uses less digits than its factorization.

5259030568110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922940 (or 1922931 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 5259030568110 in words is "five trillion, two hundred fifty-nine billion, thirty million, five hundred sixty-eight thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 307 330 405 495 594 614 810 891 921 990 1485 1535 1782 1842 2763 2970 3070 3377 4455 4605 5526 6754 8289 8910 9210 10131 13815 16578 16885 20262 24867 27630 30393 33770 41445 49734 50655 60786 82890 91179 101310 124335 151965 182358 248670 273537 303930 455895 547074 911790 1367685 1922603 2735370 3845206 5767809 9613015 11535618 17303427 19226030 21148633 28839045 34606854 42297266 51910281 57678090 63445899 86517135 103820562 105743165 126891798 155730843 173034270 190337697 211486330 259551405 311461686 317229495 380675394 519102810 571013091 590239121 634458990 778654215 951688485 1142026182 1180478242 1557308430 1713039273 1770717363 1903376970 2855065455 2951195605 3426078546 3541434726 5312152089 5710130910 5902391210 6492630331 8565196365 8853586815 10624304178 12985260662 15936456267 17130392730 17707173630 19477890993 26560760445 31872912534 32463151655 38955781986 47809368801 53121520890 58433672979 64926303310 79682281335 95618737602 97389454965 116867345958 159364562670 175301018937 194778909930 239046844005 292168364895 350602037874 478093688010 525903056811 584336729790 876505094685 1051806113622 1753010189370 2629515284055 5259030568110