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2268580194496 = 2671141671031627
BaseRepresentation
bin100001000000110001111…
…010101010100011000000
322000212121020212101100001
4201000301322222203000
5244132023012210441
64454101002405344
7322620350330050
oct41006172524300
98025536771301
102268580194496
117a5110418180
123077bab00854
13135c06b06695
147bb2ab9b560
153e0270a9731
hex21031eaa8c0

2268580194496 has 448 divisors, whose sum is σ = 5895503437824. Its totient is φ = 840670617600.

The previous prime is 2268580194493. The next prime is 2268580194521. The reversal of 2268580194496 is 6944910858622.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (2268580194493) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1394332435 + ... + 1394334061.

It is an arithmetic number, because the mean of its divisors is an integer number (13159605888).

Almost surely, 22268580194496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2268580194496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2947751718912).

2268580194496 is an abundant number, since it is smaller than the sum of its proper divisors (3626923243328).

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

2268580194496 is a wasteful number, since it uses less digits than its factorization.

2268580194496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 64.

The spelling of 2268580194496 in words is "two trillion, two hundred sixty-eight billion, five hundred eighty million, one hundred ninety-four thousand, four hundred ninety-six".