Search a number
-
+
10535126246124 = 22353149124989009
BaseRepresentation
bin1001100101001110011001…
…1101010010001011101100
31101022011000001200011010120
42121103212131102023230
52340101414304333444
634223434205404540
72135065151364534
oct231234635221354
941264001604116
1010535126246124
1133a1a16130097
121221940569750
135b55c56ccbcc
14285c8d5224c4
15134099742b19
hex994e67522ec

10535126246124 has 96 divisors (see below), whose sum is σ = 25234335000000. Its totient is φ = 3419547795456.

The previous prime is 10535126246089. The next prime is 10535126246143. The reversal of 10535126246124 is 42164262153501.

10535126246124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×105351262461243 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118315732 + ... + 118404740.

It is an arithmetic number, because the mean of its divisors is an integer number (262857656250).

Almost surely, 210535126246124 is an apocalyptic number.

It is an amenable number.

10535126246124 is an abundant number, since it is smaller than the sum of its proper divisors (14699208753876).

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

10535126246124 is a wasteful number, since it uses less digits than its factorization.

10535126246124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90467 (or 90465 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

Adding to 10535126246124 its reverse (42164262153501), we get a palindrome (52699388399625).

The spelling of 10535126246124 in words is "ten trillion, five hundred thirty-five billion, one hundred twenty-six million, two hundred forty-six thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 53 106 149 159 212 298 318 447 596 636 894 1249 1788 2498 3747 4996 7494 7897 14988 15794 23691 31588 47382 66197 89009 94764 132394 178018 186101 198591 264788 267027 356036 372202 397182 534054 558303 744404 794364 1068108 1116606 2233212 4717477 9434954 9863353 13262341 14152431 18869908 19726706 26524682 28304862 29590059 39453412 39787023 53049364 56609724 59180118 79574046 111172241 118360236 159148092 222344482 333516723 444688964 667033446 702904073 1334066892 1405808146 2108712219 2811616292 4217424438 5892128773 8434848876 11784257546 16564663909 17676386319 23568515092 33129327818 35352772638 49693991727 66258655636 70705545276 99387983454 198775966908 877927187177 1755854374354 2633781561531 3511708748708 5267563123062 10535126246124