Search a number
-
+
11192585143860 = 22325831375468387
BaseRepresentation
bin1010001011011111101000…
…0011111100011000110100
31110122000000111120122101100
42202313322003330120310
52431334403244100420
635445445211330100
72233431456663051
oct242677203743064
943560014518340
1011192585143860
113625826583a2a
121309246150930
136325c14c6993
142a9a1c98a028
15146228bb9190
hexa2dfa0fc634

11192585143860 has 144 divisors (see below), whose sum is σ = 34610696318016. Its totient is φ = 2927205152256.

The previous prime is 11192585143843. The next prime is 11192585143877. The reversal of 11192585143860 is 6834158529111.

11192585143860 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 258 + 5 + 1 + 4 + 386 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11192585143843) and next prime (11192585143877).

It is a super-3 number, since 3×111925851438603 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11192585143797 and 11192585143806.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 687414 + ... + 4780973.

It is an arithmetic number, because the mean of its divisors is an integer number (240352057764).

Almost surely, 211192585143860 is an apocalyptic number.

11192585143860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11192585143860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17305348159008).

11192585143860 is an abundant number, since it is smaller than the sum of its proper divisors (23418111174156).

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

11192585143860 is a wasteful number, since it uses less digits than its factorization.

11192585143860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5468622 (or 5468617 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 11192585143860 in words is "eleven trillion, one hundred ninety-two billion, five hundred eighty-five million, one hundred forty-three thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 137 166 180 249 274 332 411 415 498 548 685 747 822 830 996 1233 1245 1370 1494 1644 1660 2055 2466 2490 2740 2988 3735 4110 4932 4980 6165 7470 8220 11371 12330 14940 22742 24660 34113 45484 56855 68226 102339 113710 136452 170565 204678 227420 341130 409356 511695 682260 1023390 2046780 5468387 10936774 16405161 21873548 27341935 32810322 49215483 54683870 65620644 82025805 98430966 109367740 164051610 196861932 246077415 328103220 453876121 492154830 749169019 907752242 984309660 1361628363 1498338038 1815504484 2247507057 2269380605 2723256726 2996676076 3745845095 4084885089 4495014114 4538761210 5446513452 6742521171 6808141815 7491690190 8169770178 8990028228 9077522420 11237535285 13485042342 13616283630 14983380380 16339540356 20424425445 22475070570 26970084684 27232567260 33712605855 40848850890 44950141140 62181028577 67425211710 81697701780 124362057154 134850423420 186543085731 248724114308 310905142885 373086171462 559629257193 621810285770 746172342924 932715428655 1119258514386 1243620571540 1865430857310 2238517028772 2798146285965 3730861714620 5596292571930 11192585143860