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23060525332544 = 267743140949169
BaseRepresentation
bin1010011111001001100100…
…11010111011100001000000
310000122120020122211020121222
411033210302122323201000
511010310423441120134
6121013505321334212
74600032213066320
oct517446232734100
9100576218736558
1023060525332544
117390a063aa9a7
12270534b337368
13cb37a135557b
1459a1c76b5280
1529eccceeba2e
hex14f9326bb840

23060525332544 has 112 divisors (see below), whose sum is σ = 52406597548800. Its totient is φ = 9862575292416.

The previous prime is 23060525332541. The next prime is 23060525332589. The reversal of 23060525332544 is 44523352506032.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×230605253325442 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23060525332495 and 23060525332504.

It is not an unprimeable number, because it can be changed into a prime (23060525332541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 468980792 + ... + 469029960.

Almost surely, 223060525332544 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 23060525332544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26203298774400).

23060525332544 is an abundant number, since it is smaller than the sum of its proper divisors (29346072216256).

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

23060525332544 is a wasteful number, since it uses less digits than its factorization.

23060525332544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51340 (or 51330 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 44.

Adding to 23060525332544 its reverse (44523352506032), we get a palindrome (67583877838576).

The spelling of 23060525332544 in words is "twenty-three trillion, sixty billion, five hundred twenty-five million, three hundred thirty-two thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 743 1409 1486 2818 2972 5201 5636 5944 9863 10402 11272 11888 19726 20804 22544 23776 39452 41608 45088 47552 49169 78904 83216 90176 98338 157808 166432 196676 315616 332864 344183 393352 631232 688366 786704 1046887 1376732 1573408 2093774 2753464 3146816 4187548 5506928 7328209 8375096 11013856 14656418 16750192 22027712 29312836 33500384 36532567 58625672 67000768 69279121 73065134 117251344 138558242 146130268 234502688 255727969 277116484 292260536 469005376 484953847 511455938 554232968 584521072 969907694 1022911876 1108465936 1169042144 1939815388 2045823752 2216931872 2338084288 3879630776 4091647504 4433863744 7759261552 8183295008 15518523104 16366590016 31037046208 51474386903 102948773806 205897547612 360320708321 411795095224 720641416642 823590190448 1441282833284 1647180380896 2882565666568 3294360761792 5765131333136 11530262666272 23060525332544