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5482057107456 = 21135711131373
BaseRepresentation
bin100111111000110010000…
…0100010000100000000000
3201102002010222121110100000
41033301210010100200000
51204304223104414311
615354231113200000
71104031325365446
oct117614404204000
921362128543300
105482057107456
111823a22358246
12746561a00000
13309c56a87c57
1414d4939a6b96
1597902ecc056
hex4fc64110800

5482057107456 has 576 divisors, whose sum is σ = 16810451199360. Its totient is φ = 1784370954240.

The previous prime is 5482057107451. The next prime is 5482057107463. The reversal of 5482057107456 is 6547017502845.

It is a happy number.

5482057107456 is a `hidden beast` number, since 5 + 4 + 8 + 20 + 571 + 0 + 7 + 45 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5482057107451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3992757586 + ... + 3992758958.

It is an arithmetic number, because the mean of its divisors is an integer number (29184811110).

Almost surely, 25482057107456 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 5482057107456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8405225599680).

5482057107456 is an abundant number, since it is smaller than the sum of its proper divisors (11328394091904).

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

5482057107456 is a wasteful number, since it uses less digits than its factorization.

5482057107456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 54.

The spelling of 5482057107456 in words is "five trillion, four hundred eighty-two billion, fifty-seven million, one hundred seven thousand, four hundred fifty-six".