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2483301996000 = 2533537172331271
BaseRepresentation
bin100100001000110000010…
…101010101010111100000
322210101211120211001221000
4210020300111111113200
5311141300302333000
65140451352032000
7344261352455130
oct44106025252740
98711746731830
102483301996000
11878187267781
12341344992600
131502361381b7
148829a166ac0
15448e2bde000
hex242305555e0

2483301996000 has 3072 divisors, whose sum is σ = 11825452154880. Its totient is φ = 492687360000.

The previous prime is 2483301995989. The next prime is 2483301996029. The reversal of 2483301996000 is 6991033842.

It is a happy number.

2483301996000 is a `hidden beast` number, since 2 + 4 + 8 + 3 + 30 + 1 + 9 + 9 + 600 + 0 = 666.

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 polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 9163475865 + ... + 9163476135.

It is an arithmetic number, because the mean of its divisors is an integer number (3849431040).

Almost surely, 22483301996000 is an apocalyptic number.

2483301996000 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 2483301996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5912726077440).

2483301996000 is an abundant number, since it is smaller than the sum of its proper divisors (9342150158880).

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

2483301996000 is a wasteful number, since it uses less digits than its factorization.

2483301996000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 2483301996000 in words is "two trillion, four hundred eighty-three billion, three hundred one million, nine hundred ninety-six thousand".