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116642232532 = 22717577599709
BaseRepresentation
bin110110010100001101…
…0110011100011010100
3102011001222221100110101
41230220122303203110
53402340402420112
6125330143503444
711266334421610
oct1545032634324
9364058840411
10116642232532
1145516554791
121a7332b7b84
13accb65a307
145907410340
15307a2e1757
hex1b286b38d4

116642232532 has 96 divisors (see below), whose sum is σ = 248197824000. Its totient is φ = 46822883328.

The previous prime is 116642232503. The next prime is 116642232533. The reversal of 116642232532 is 235232246611.

It is a junction number, because it is equal to n+sod(n) for n = 116642232491 and 116642232500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116642232533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164516194 + ... + 164516902.

It is an arithmetic number, because the mean of its divisors is an integer number (2585394000).

Almost surely, 2116642232532 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 116642232532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124098912000).

116642232532 is an abundant number, since it is smaller than the sum of its proper divisors (131555591468).

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

116642232532 is a wasteful number, since it uses less digits than its factorization.

116642232532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1911 counting only the distinct ones).

The product of its digits is 103680, while the sum is 37.

The spelling of 116642232532 in words is "one hundred sixteen billion, six hundred forty-two million, two hundred thirty-two thousand, five hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 476 577 599 709 1154 1198 1418 2308 2396 2836 4039 4193 4963 8078 8386 9809 9926 10183 12053 16156 16772 19618 19852 20366 24106 39236 40732 48212 68663 71281 84371 137326 142562 168742 274652 285124 337484 345623 409093 424691 691246 818186 849382 1382492 1636372 1698764 2419361 2863651 2972837 4838722 5727302 5875591 5945674 6954581 7219747 9677444 11454604 11751182 11891348 13909162 14439494 23502364 27818324 28878988 41129137 48682067 50538229 82258274 97364134 101076458 164516548 194728268 202152916 245046707 490093414 980186828 1715326949 3430653898 4165794019 6861307796 8331588038 16663176076 29160558133 58321116266 116642232532