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2483758080000 = 213345453113
BaseRepresentation
bin100100001001001011100…
…001001010000000000000
322210110000101000112120000
4210021023201022000000
5311143214032030000
65141004523320000
7344305561224111
oct44111341120000
98713011015500
102483758080000
118783a07593aa
12341451680000
131502a97851a2
148830096a208
154491cc80000
hex2424b84a000

2483758080000 has 1400 divisors, whose sum is σ = 9530780039748. Its totient is φ = 644087808000.

The previous prime is 2483758079941. The next prime is 2483758080061. The reversal of 2483758080000 is 808573842.

It can be written as a sum of positive squares in 10 ways, for example, as 561564389376 + 1922193690624 = 749376^2 + 1386432^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 21980159944 + ... + 21980160056.

Almost surely, 22483758080000 is an apocalyptic number.

2483758080000 is a gapful number since it is divisible by the number (20) 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 2483758080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4765390019874).

2483758080000 is an abundant number, since it is smaller than the sum of its proper divisors (7047021959748).

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

2483758080000 is an frugal number, since it uses more digits than its factorization.

2483758080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 2483758080000 in words is "two trillion, four hundred eighty-three billion, seven hundred fifty-eight million, eighty thousand".