Search a number
-
+
5346859809135 = 35131945711932647
BaseRepresentation
bin100110111001110100110…
…1011011111100101101111
3200221011011212001002201210
41031303221223133211233
51200100332102343020
615212151414005503
71061204112331035
oct115635153374557
920834155032653
105346859809135
111781654a73a49
12724310646893
132ca28c205190
14146b0a15c555
159413dc3d3e0
hex4dce9adf96f

5346859809135 has 128 divisors (see below), whose sum is σ = 9730990725120. Its totient is φ = 2485276286976.

The previous prime is 5346859809119. The next prime is 5346859809163. The reversal of 5346859809135 is 5319089586435.

It is not a de Polignac number, because 5346859809135 - 24 = 5346859809119 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2019968382 + ... + 2019971028.

It is an arithmetic number, because the mean of its divisors is an integer number (76023365040).

Almost surely, 25346859809135 is an apocalyptic number.

5346859809135 is a deficient number, since it is larger than the sum of its proper divisors (4384130915985).

5346859809135 is a wasteful number, since it uses less digits than its factorization.

5346859809135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4337.

The product of its (nonzero) digits is 139968000, while the sum is 66.

The spelling of 5346859809135 in words is "five trillion, three hundred forty-six billion, eight hundred fifty-nine million, eight hundred nine thousand, one hundred thirty-five".

Divisors: 1 3 5 13 15 19 39 57 65 95 195 247 285 457 741 1193 1235 1371 2285 2647 3579 3705 5941 5965 6855 7941 8683 13235 15509 17823 17895 22667 26049 29705 34411 39705 43415 46527 50293 68001 77545 89115 103233 112879 113335 130245 150879 172055 232635 251465 294671 338637 340005 516165 545201 564395 653809 754395 884013 1209679 1473355 1635603 1693185 1961427 2726005 3157871 3269045 3629037 4420065 6048395 7087613 8178015 9473613 9807135 10358819 15725827 15789355 18145185 21262839 22983901 31076457 35438065 41052323 47177481 47368065 51794095 59999549 68951703 78629135 106314195 114919505 123156969 134664647 155382285 179998647 205261615 235887405 298790713 299997745 344758515 403993941 615784845 673323235 779994137 896372139 899993235 1443147047 1493953565 2019969705 2339982411 3899970685 4329441141 4481860695 7215735235 11699912055 18760911611 21647205705 27419793893 56282734833 82259381679 93804558055 137098969465 281413674165 356457320609 411296908395 1069371961827 1782286603045 5346859809135