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80723190240 = 253257111938317
BaseRepresentation
bin100101100101101111…
…0100010000111100000
321201100201220221111200
41023023132202013200
52310310114041430
6101030030041200
75555252536650
oct1131336420740
9251321827450
1080723190240
1131264155670
121378a049200
1377c5c03734
143c9ac2c360
152176c22460
hex12cb7a21e0

80723190240 has 576 divisors, whose sum is σ = 361525731840. Its totient is φ = 15890411520.

The previous prime is 80723190169. The next prime is 80723190263. The reversal of 80723190240 is 4209132708.

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

It is a junction number, because it is equal to n+sod(n) for n = 80723190195 and 80723190204.

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 95 ways as a sum of consecutive naturals, for example, 2087562 + ... + 2125878.

It is an arithmetic number, because the mean of its divisors is an integer number (627648840).

Almost surely, 280723190240 is an apocalyptic number.

80723190240 is a gapful number since it is divisible by the number (80) 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 80723190240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180762865920).

80723190240 is an abundant number, since it is smaller than the sum of its proper divisors (280802541600).

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

80723190240 is a wasteful number, since it uses less digits than its factorization.

80723190240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38375 (or 38364 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 80723190240 in words is "eighty billion, seven hundred twenty-three million, one hundred ninety thousand, two hundred forty".