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10466006113060 = 22537331109312637
BaseRepresentation
bin1001100001001100111010…
…0100111001101100100100
31101001112120221221120210021
42120103032210321230210
52332433340031104220
634132003345204524
72130100250061601
oct230231644715444
941045527846707
1010466006113060
11337567666a083
121210470330744
135abc2b6500a4
142827b37056a8
151323a14d34aa
hex984ce939b24

10466006113060 has 48 divisors (see below), whose sum is σ = 21988222176816. Its totient is φ = 4184572534272.

The previous prime is 10466006113039. The next prime is 10466006113067. The reversal of 10466006113060 is 6031160066401.

It can be written as a sum of positive squares in 8 ways, for example, as 102487058496 + 10363519054564 = 320136^2 + 3219242^2 .

It is not an unprimeable number, because it can be changed into a prime (10466006113067) 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, 828197062 + ... + 828209698.

It is an arithmetic number, because the mean of its divisors is an integer number (458087962017).

Almost surely, 210466006113060 is an apocalyptic number.

10466006113060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10466006113060 is an abundant number, since it is smaller than the sum of its proper divisors (11522216063756).

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

10466006113060 is a wasteful number, since it uses less digits than its factorization.

10466006113060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27472 (or 27470 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

Adding to 10466006113060 its reverse (6031160066401), we get a palindrome (16497166179461).

The spelling of 10466006113060 in words is "ten trillion, four hundred sixty-six billion, six million, one hundred thirteen thousand, sixty".

Divisors: 1 2 4 5 10 20 3733 7466 11093 12637 14932 18665 22186 25274 37330 44372 50548 55465 63185 74660 110930 126370 221860 252740 41410169 47173921 82820338 94347842 140182241 165640676 188695684 207050845 235869605 280364482 414101690 471739210 560728964 700911205 828203380 943478420 1401822410 2803644820 523300305653 1046600611306 2093201222612 2616501528265 5233003056530 10466006113060