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2143913186448 = 24321129313149111
BaseRepresentation
bin11111001100101011001…
…011110001010010010000
321120221210222220012100200
4133030223023301102100
5240111213233431243
64320522232015200
7310615111256145
oct37145313612220
97527728805320
102143913186448
11757257113910
122a7608231500
13127229a702b7
1475aa1ab43cc
153ab7c526ad3
hex1f32b2f1490

2143913186448 has 240 divisors, whose sum is σ = 6792815053440. Its totient is φ = 625259980800.

The previous prime is 2143913186417. The next prime is 2143913186461. The reversal of 2143913186448 is 8446813193412.

2143913186448 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 9 + 13 + 186 + 448 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2143913186394 and 2143913186403.

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, 14303413 + ... + 14452523.

It is an arithmetic number, because the mean of its divisors is an integer number (28303396056).

Almost surely, 22143913186448 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 2143913186448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396407526720).

2143913186448 is an abundant number, since it is smaller than the sum of its proper divisors (4648901866992).

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

2143913186448 is a wasteful number, since it uses less digits than its factorization.

2143913186448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149478 (or 149469 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 2143913186448 in words is "two trillion, one hundred forty-three billion, nine hundred thirteen million, one hundred eighty-six thousand, four hundred forty-eight".