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130747234752 = 263619791867
BaseRepresentation
bin111100111000100100…
…1000111100111000000
3110111110222222201000000
41321301021013213000
54120232243003002
6140021531000000
712306016105221
oct1716111074700
9414428881000
10130747234752
11504a4450712
122140ab99000
13c438941784
14648481b248
15360376661c
hex1e712479c0

130747234752 has 392 divisors, whose sum is σ = 414878316800. Its totient is φ = 40744124928.

The previous prime is 130747234747. The next prime is 130747234811. The reversal of 130747234752 is 257432747031.

130747234752 is a `hidden beast` number, since 1 + 307 + 47 + 234 + 75 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 130747234698 and 130747234707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 70029723 + ... + 70031589.

Almost surely, 2130747234752 is an apocalyptic number.

130747234752 is a gapful number since it is divisible by the number (12) 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 130747234752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207439158400).

130747234752 is an abundant number, since it is smaller than the sum of its proper divisors (284131082048).

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

130747234752 is an equidigital number, since it uses as much as digits as its factorization.

130747234752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 130747234752 in words is "one hundred thirty billion, seven hundred forty-seven million, two hundred thirty-four thousand, seven hundred fifty-two".