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80223486767424 = 2632711131394192389
BaseRepresentation
bin10010001111011001111100…
…011011100111000101000000
3101112001021211201122010002100
4102033121330123213011000
541003340200103024144
6442342054441350400
722616645534236050
oct2217317433470500
9345037751563070
1080223486767424
112361a653949330
128bb7a23498400
13359c0720415c0
1415b4ba2073560
15941be4cc0269
hex48f67c6e7140

80223486767424 has 1344 divisors, whose sum is σ = 311832638208000. Its totient is φ = 19042475950080.

The previous prime is 80223486767407. The next prime is 80223486767453. The reversal of 80223486767424 is 42476768432208.

It is a happy number.

80223486767424 is a `hidden beast` number, since 80 + 2 + 2 + 3 + 486 + 7 + 6 + 74 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33580361622 + ... + 33580364010.

It is an arithmetic number, because the mean of its divisors is an integer number (232018332000).

Almost surely, 280223486767424 is an apocalyptic number.

80223486767424 is a gapful number since it is divisible by the number (84) 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 80223486767424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155916319104000).

80223486767424 is an abundant number, since it is smaller than the sum of its proper divisors (231609151440576).

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

80223486767424 is a wasteful number, since it uses less digits than its factorization.

80223486767424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996 (or 2983 counting only the distinct ones).

The product of its (nonzero) digits is 173408256, while the sum is 63.

The spelling of 80223486767424 in words is "eighty trillion, two hundred twenty-three billion, four hundred eighty-six million, seven hundred sixty-seven thousand, four hundred twenty-four".