Search a number
-
+
180755103744 = 219331132
BaseRepresentation
bin1010100001010111011…
…0000000000000000000
3122021120010121122212000
42220111312000000000
510430141301304434
6215012053104000
716026165013515
oct2502566000000
9567503548760
10180755103744
116a7265a8866
122b046628000
13140782080b7
148a6a1d930c
154a7db62b99
hex2a15d80000

180755103744 has 240 divisors, whose sum is σ = 540351669000. Its totient is φ = 59718500352.

The previous prime is 180755103689. The next prime is 180755103773. The reversal of 180755103744 is 447301557081.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a self number, because there is not a number n which added to its sum of digits gives 180755103744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1599602632 + ... + 1599602744.

Almost surely, 2180755103744 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 180755103744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270175834500).

180755103744 is an abundant number, since it is smaller than the sum of its proper divisors (359596565256).

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

180755103744 is an frugal number, since it uses more digits than its factorization.

180755103744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 180755103744 in words is "one hundred eighty billion, seven hundred fifty-five million, one hundred three thousand, seven hundred forty-four".