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5485372808760 = 233451319311271741
BaseRepresentation
bin100111111010010100110…
…1100101001111000111000
3201102101201001200112110000
41033310221230221320320
51204333020414340020
615355540120153000
71104206436364215
oct117645154517070
921371631615400
105485372808760
111825373a46759
12747128308760
1330a3649a6ba0
1414d6ca0acb0c
1597a49132090
hex4fd29b29e38

5485372808760 has 1280 divisors, whose sum is σ = 21756749414400. Its totient is φ = 1227463372800.

The previous prime is 5485372808753. The next prime is 5485372808789. The reversal of 5485372808760 is 678082735845.

5485372808760 is a `hidden beast` number, since 5 + 4 + 8 + 537 + 28 + 0 + 8 + 76 + 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 (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3150701490 + ... + 3150703230.

It is an arithmetic number, because the mean of its divisors is an integer number (16997460480).

Almost surely, 25485372808760 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 5485372808760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10878374707200).

5485372808760 is an abundant number, since it is smaller than the sum of its proper divisors (16271376605640).

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

5485372808760 is a wasteful number, since it uses less digits than its factorization.

5485372808760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 5485372808760 in words is "five trillion, four hundred eighty-five billion, three hundred seventy-two million, eight hundred eight thousand, seven hundred sixty".