Search a number
-
+
130275384642 = 23513672411277
BaseRepresentation
bin111100101010100000…
…1001001110101000010
3110110021010010020100000
41321111001021311002
54113300444302032
6135503033340430
712261226333014
oct1712501116502
9413233106300
10130275384642
1150282070747
12212b8b67716
13c391c64520
14643bcb21b4
1535c710de7c
hex1e55049d42

130275384642 has 192 divisors, whose sum is σ = 321518381184. Its totient is φ = 39291816960.

The previous prime is 130275384607. The next prime is 130275384643. The reversal of 130275384642 is 246483572031.

130275384642 is a `hidden beast` number, since 1 + 30 + 2 + 7 + 538 + 46 + 42 = 666.

It is not an unprimeable number, because it can be changed into a prime (130275384643) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102016108 + ... + 102017384.

It is an arithmetic number, because the mean of its divisors is an integer number (1674574902).

Almost surely, 2130275384642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130275384642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160759190592).

130275384642 is an abundant number, since it is smaller than the sum of its proper divisors (191242996542).

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

130275384642 is a wasteful number, since it uses less digits than its factorization.

130275384642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 130275384642 in words is "one hundred thirty billion, two hundred seventy-five million, three hundred eighty-four thousand, six hundred forty-two".