Search a number
-
+
11227870337068 = 22711172182369193
BaseRepresentation
bin1010001101100011000100…
…1110010001100000101100
31110202101002120220011212001
42203120301032101200230
52432424134301241233
635514002403422044
72236121044116340
oct243306116214054
943671076804761
1011227870337068
113639793105930
121314053084924
13635a25832a28
142ab608cd3620
151470e17d127d
hexa363139182c

11227870337068 has 144 divisors (see below), whose sum is σ = 26037598132224. Its totient is φ = 4114853775360.

The previous prime is 11227870337027. The next prime is 11227870337081. The reversal of 11227870337068 is 86073307872211.

It is a super-2 number, since 2×112278703370682 (a number of 27 digits) contains 22 as substring.

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, 162234280 + ... + 162303472.

It is an arithmetic number, because the mean of its divisors is an integer number (180816653696).

Almost surely, 211227870337068 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 11227870337068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13018799066112).

11227870337068 is an abundant number, since it is smaller than the sum of its proper divisors (14809727795156).

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

11227870337068 is a wasteful number, since it uses less digits than its factorization.

11227870337068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71072 (or 71053 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 55.

The spelling of 11227870337068 in words is "eleven trillion, two hundred twenty-seven billion, eight hundred seventy million, three hundred thirty-seven thousand, sixty-eight".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 154 187 238 289 308 374 476 578 748 1156 1309 1823 2023 2618 3179 3646 4046 5236 6358 7292 8092 12716 12761 20053 22253 25522 30991 40106 44506 51044 61982 69193 80212 89012 123964 138386 140371 216937 276772 280742 340901 433874 484351 526847 561484 681802 761123 867748 968702 1053694 1176281 1363604 1522246 1937404 2107388 2352562 2386307 3044492 3687929 4705124 4772614 5327861 5795317 7375858 8233967 9545228 10655722 11590634 12939091 14751716 16467934 19996777 21311444 23181268 25878182 32935868 39993554 40567219 51756364 79987108 81134438 90573637 126138839 139977439 162268876 181147274 219964547 252277678 279954878 362294548 439929094 504555356 559909756 879858188 882971873 1387527229 1539751829 1765943746 2144360263 2775054458 3079503658 3531887492 4288720526 5550108916 6159007316 8577441052 9712690603 15010521841 19425381206 23587962893 30021043682 36454124471 38850762412 47175925786 60042087364 72908248942 94351851572 145816497884 165115740251 255178871297 330231480502 400995369181 510357742594 660462961004 801990738362 1020715485188 1603981476724 2806967584267 5613935168534 11227870337068