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73130453760 = 283573134271
BaseRepresentation
bin100010000011011101…
…0100010101100000000
320222202120211222010110
41010012322202230000
52144232344010020
653332355231320
75166145413000
oct1040672425400
9228676758113
1073130453760
1129018264341
121220b2a8540
136b85b76060
14377a69a000
151d803728e0
hex1106ea2b00

73130453760 has 576 divisors, whose sum is σ = 293394124800. Its totient is φ = 15426109440.

The previous prime is 73130453663. The next prime is 73130453771. The reversal of 73130453760 is 6735403137.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17120425 + ... + 17124695.

It is an arithmetic number, because the mean of its divisors is an integer number (509364800).

Almost surely, 273130453760 is an apocalyptic number.

73130453760 is a gapful number since it is divisible by the number (70) 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 73130453760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146697062400).

73130453760 is an abundant number, since it is smaller than the sum of its proper divisors (220263671040).

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

73130453760 is a wasteful number, since it uses less digits than its factorization.

73130453760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4329 (or 4301 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 39.

Adding to 73130453760 its reverse (6735403137), we get a palindrome (79865856897).

The spelling of 73130453760 in words is "seventy-three billion, one hundred thirty million, four hundred fifty-three thousand, seven hundred sixty".