Search a number
-
+
130280161536 = 28367313217
BaseRepresentation
bin111100101010101001…
…1011000000100000000
3110110021110002221000000
41321111103120010000
54113303210132121
6135503324000000
712261315046560
oct1712523300400
9413243087000
10130280161536
1150284833698
12212ba690000
13c392c478a5
14643c796da0
1535c7754526
hex1e554d8100

130280161536 has 504 divisors, whose sum is σ = 460115715584. Its totient is φ = 36010967040.

The previous prime is 130280161523. The next prime is 130280161559. The reversal of 130280161536 is 635161082031.

130280161536 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 8 + 0 + 1 + 615 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 130280161536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 40495800 + ... + 40499016.

Almost surely, 2130280161536 is an apocalyptic number.

130280161536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130280161536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230057857792).

130280161536 is an abundant number, since it is smaller than the sum of its proper divisors (329835554048).

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

130280161536 is an frugal number, since it uses more digits than its factorization.

130280161536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3289 (or 3260 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 130280161536 in words is "one hundred thirty billion, two hundred eighty million, one hundred sixty-one thousand, five hundred thirty-six".