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8005562423040 = 283572133272813
BaseRepresentation
bin111010001111111000010…
…1101000101011100000000
31001100022202102001202210110
41310133300231011130000
52022130342440014130
625005412110031320
71454245204556100
oct164376055053400
931308672052713
108005562423040
11260715a312a76
12a936467a8540
13460bc9122940
141d9685305200
15dd39a465ab0
hex747f0b45700

8005562423040 has 432 divisors, whose sum is σ = 32029957135008. Its totient is φ = 1689085181952.

The previous prime is 8005562423017. The next prime is 8005562423069. The reversal of 8005562423040 is 403242655008.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8005562423040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 809674 + ... + 4082486.

It is an arithmetic number, because the mean of its divisors is an integer number (74143419294).

Almost surely, 28005562423040 is an apocalyptic number.

8005562423040 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 8005562423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16014978567504).

8005562423040 is an abundant number, since it is smaller than the sum of its proper divisors (24024394711968).

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

8005562423040 is a wasteful number, since it uses less digits than its factorization.

8005562423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3272864 (or 3272843 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 8005562423040 in words is "eight trillion, five billion, five hundred sixty-two million, four hundred twenty-three thousand, forty".