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5492548454400 = 211325273193159
BaseRepresentation
bin100111111101101010101…
…1001100100100000000000
3201110002020010221002202100
41033323111121210200000
51204442214401020100
615403124131150400
71104552320355000
oct117732531444000
921402203832670
105492548454400
111828416459507
127485ab445400
1330ac394baa57
1414dbab0ac000
1597d19094400
hex4fed5664800

5492548454400 has 3456 divisors, whose sum is σ = 25348377600000. Its totient is φ = 1131488870400.

The previous prime is 5492548454399. The next prime is 5492548454411. The reversal of 5492548454400 is 44548452945.

5492548454400 is a `hidden beast` number, since 5 + 4 + 9 + 2 + 548 + 4 + 54 + 40 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 93094041571 + ... + 93094041629.

It is an arithmetic number, because the mean of its divisors is an integer number (7334600000).

Almost surely, 25492548454400 is an apocalyptic number.

5492548454400 is a gapful number since it is divisible by the number (50) 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 5492548454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12674188800000).

5492548454400 is an abundant number, since it is smaller than the sum of its proper divisors (19855829145600).

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

5492548454400 is a wasteful number, since it uses less digits than its factorization.

5492548454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 18432000, while the sum is 54.

The spelling of 5492548454400 in words is "five trillion, four hundred ninety-two billion, five hundred forty-eight million, four hundred fifty-four thousand, four hundred".