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130471104960 = 263257173710289
BaseRepresentation
bin111100110000010101…
…1110001000111000000
3110110202202101212010200
41321200223301013000
54114201100324320
6135534304325200
712266124044130
oct1714053610700
9413682355120
10130471104960
11503725a0279
1221352613800
13c3c3680871
146459c9cac0
1535d93c0290
hex1e60af11c0

130471104960 has 672 divisors, whose sum is σ = 557775953280. Its totient is φ = 27306491904.

The previous prime is 130471104937. The next prime is 130471104961. The reversal of 130471104960 is 69401174031.

130471104960 is a `hidden beast` number, since 13 + 0 + 47 + 110 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130471104961) 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, 12675496 + ... + 12685784.

It is an arithmetic number, because the mean of its divisors is an integer number (830023740).

Almost surely, 2130471104960 is an apocalyptic number.

130471104960 is a gapful number since it is divisible by the number (10) 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 130471104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278887976640).

130471104960 is an abundant number, since it is smaller than the sum of its proper divisors (427304848320).

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

130471104960 is a wasteful number, since it uses less digits than its factorization.

130471104960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10373 (or 10360 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 130471104960 its reverse (69401174031), we get a palindrome (199872278991).

The spelling of 130471104960 in words is "one hundred thirty billion, four hundred seventy-one million, one hundred four thousand, nine hundred sixty".