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5334290037504 = 2832172961167461
BaseRepresentation
bin100110110011111110001…
…1101100111101100000000
3200212221201211210112122100
41031213330131213230000
51144344111222200004
615202312232110400
71060250452124361
oct115477435475400
920787654715570
105334290037504
11177729473052a
127219a2b35400
132c9037cc999c
141462769c5b68
1593b55471739
hex4d9fc767b00

5334290037504 has 864 divisors, whose sum is σ = 17262391386240. Its totient is φ = 1576363622400.

The previous prime is 5334290037493. The next prime is 5334290037553. The reversal of 5334290037504 is 4057300924335.

5334290037504 is a `hidden beast` number, since 53 + 3 + 4 + 2 + 90 + 0 + 3 + 7 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5334290037504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11571127834 + ... + 11571128294.

It is an arithmetic number, because the mean of its divisors is an integer number (19979619660).

Almost surely, 25334290037504 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 5334290037504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8631195693120).

5334290037504 is an abundant number, since it is smaller than the sum of its proper divisors (11928101348736).

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

5334290037504 is a wasteful number, since it uses less digits than its factorization.

5334290037504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 5334290037504 in words is "five trillion, three hundred thirty-four billion, two hundred ninety million, thirty-seven thousand, five hundred four".