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131983983616 = 210113532
BaseRepresentation
bin111101011101011011…
…0111100010000000000
3110121200012011001111111
41322322312330100000
54130300344433431
6140344350453104
712351454231102
oct1727266742000
9417605131444
10131983983616
1150a79577411
12216b5204194
13c5a4c31a34
146560b95572
1536771107b1
hex1ebadbc400

131983983616 has 33 divisors (see below), whose sum is σ = 263862318261. Its totient is φ = 65986179072.

The previous prime is 131983983613. The next prime is 131983983647. The reversal of 131983983616 is 616389389131.

It is a happy number.

The square root of 131983983616 is 363296.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 36191257600 + 95792726016 = 190240^2 + 309504^2 .

It is a super-2 number, since 2×1319839836162 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131983983613) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 11619796 + ... + 11631148.

Almost surely, 2131983983616 is an apocalyptic number.

131983983616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

131983983616 is the 363296-th square number.

It is an amenable number.

131983983616 is a deficient number, since it is larger than the sum of its proper divisors (131878334645).

131983983616 is an frugal number, since it uses more digits than its factorization.

131983983616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22726 (or 11355 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 58.

The spelling of 131983983616 in words is "one hundred thirty-one billion, nine hundred eighty-three million, nine hundred eighty-three thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 11353 22706 45412 90824 181648 363296 726592 1453184 2906368 5812736 11625472 128890609 257781218 515562436 1031124872 2062249744 4124499488 8248998976 16497997952 32995995904 65991991808 131983983616