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73132234560 = 26335711372971
BaseRepresentation
bin100010000011100000…
…1010101011101000000
320222202201012102221000
41010013001111131000
52144233323001220
653332501332000
75166166510560
oct1040701253500
9228681172830
1073132234560
1129019270280
121220ba07000
136b8634a798
14377aa00da0
151d805c5390
hex1107055740

73132234560 has 896 divisors, whose sum is σ = 330459770880. Its totient is φ = 14780620800.

The previous prime is 73132234531. The next prime is 73132234573. The reversal of 73132234560 is 6543223137.

73132234560 is a `hidden beast` number, since 7 + 31 + 32 + 2 + 34 + 560 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24613875 + ... + 24616845.

Almost surely, 273132234560 is an apocalyptic number.

73132234560 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 73132234560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165229885440).

73132234560 is an abundant number, since it is smaller than the sum of its proper divisors (257327536320).

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

73132234560 is a wasteful number, since it uses less digits than its factorization.

73132234560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3052 (or 3036 counting only the distinct ones).

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

Adding to 73132234560 its reverse (6543223137), we get a palindrome (79675457697).

The spelling of 73132234560 in words is "seventy-three billion, one hundred thirty-two million, two hundred thirty-four thousand, five hundred sixty".