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130504734360 = 233657111317263
BaseRepresentation
bin111100110001010110…
…0000011011010011000
3110110212002200102000000
41321202230003122120
54114233202444420
6135541505213000
712300012640050
oct1714254033230
9413762612000
10130504734360
115038a57a570
1221361931160
13c3ca626810
146460534560
1535dc314690
hex1e62b03698

130504734360 has 1792 divisors, whose sum is σ = 628258498560. Its totient is φ = 23469834240.

The previous prime is 130504734323. The next prime is 130504734397. The reversal of 130504734360 is 63437405031.

130504734360 is a `hidden beast` number, since 1 + 305 + 0 + 4 + 7 + 343 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (130504734323) and next prime (130504734397).

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

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 447 ways as a sum of consecutive naturals, for example, 496215589 + ... + 496215851.

It is an arithmetic number, because the mean of its divisors is an integer number (350590680).

Almost surely, 2130504734360 is an apocalyptic number.

130504734360 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 130504734360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314129249280).

130504734360 is an abundant number, since it is smaller than the sum of its proper divisors (497753764200).

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

130504734360 is a wasteful number, since it uses less digits than its factorization.

130504734360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 130504734360 in words is "one hundred thirty billion, five hundred four million, seven hundred thirty-four thousand, three hundred sixty".