Search a number
-
+
5331314544296 = 2313411638219343
BaseRepresentation
bin100110110010100101100…
…0111000000111010101000
3200212200001110212211022012
41031211023013000322220
51144322013010404141
615201101101015052
71060113641631146
oct115451307007250
920780043784265
105331314544296
111775aa8089434
127212b2554488
132c8982716010
1414607375c596
1593a2e11dceb
hex4d94b1c0ea8

5331314544296 has 128 divisors (see below), whose sum is σ = 11110077296640. Its totient is φ = 2382703257600.

The previous prime is 5331314544277. The next prime is 5331314544319. The reversal of 5331314544296 is 6924454131335.

It is a super-2 number, since 2×53313145442962 (a number of 26 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 570616601 + ... + 570625943.

It is an arithmetic number, because the mean of its divisors is an integer number (86797478880).

Almost surely, 25331314544296 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 5331314544296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5555038648320).

5331314544296 is an abundant number, since it is smaller than the sum of its proper divisors (5778762752344).

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

5331314544296 is a wasteful number, since it uses less digits than its factorization.

5331314544296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10387 (or 10383 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 50.

The spelling of 5331314544296 in words is "five trillion, three hundred thirty-one billion, three hundred fourteen million, five hundred forty-four thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 26 41 52 82 104 163 164 326 328 533 652 821 1066 1304 1642 2119 2132 3284 4238 4264 6568 6683 8476 9343 10673 13366 16952 18686 21346 26732 33661 37372 42692 53464 67322 74744 85384 86879 121459 133823 134644 173758 242918 267646 269288 347516 383063 437593 485836 535292 695032 766126 875186 971672 1070584 1522909 1532252 1739699 1750372 3045818 3064504 3479398 3500744 4979819 5486743 6091636 6958796 7670603 9959638 10973486 12183272 13917592 15341206 19797817 19919276 21946972 30682412 39595634 39838552 43893944 61364824 62439269 71327659 79191268 99717839 124878538 142655318 158382536 199435678 249757076 285310636 314494723 398871356 499514152 570621272 628989446 797742712 811710497 1250308289 1257978892 1623420994 2500616578 2515957784 3246841988 4088431399 5001233156 6493683976 8176862798 10002466312 16254007757 16353725596 32508015514 32707451192 51262639849 65016031028 102525279698 130032062056 205050559396 410101118792 666414318037 1332828636074 2665657272148 5331314544296