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5385547776 = 212371729127
BaseRepresentation
bin1010000010000000…
…01111000000000000
3111220022212011200110
411001000033000000
542012200012101
62250222551320
7250313254320
oct50100170000
914808764613
105385547776
112314001834
121063738540
1367a9acc7b
14391383280
15217c12cd6
hex14100f000

5385547776 has 416 divisors, whose sum is σ = 18117181440. Its totient is φ = 1387266048.

The previous prime is 5385547751. The next prime is 5385547813. The reversal of 5385547776 is 6777455835.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42405825 + ... + 42405951.

Almost surely, 25385547776 is an apocalyptic number.

5385547776 is a gapful number since it is divisible by the number (56) 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 5385547776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9058590720).

5385547776 is an abundant number, since it is smaller than the sum of its proper divisors (12731633664).

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

5385547776 is a wasteful number, since it uses less digits than its factorization.

5385547776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 185 counting only the distinct ones).

The product of its digits is 24696000, while the sum is 57.

The square root of 5385547776 is about 73386.2914719091. The cubic root of 5385547776 is about 1752.8441127470.

The spelling of 5385547776 in words is "five billion, three hundred eighty-five million, five hundred forty-seven thousand, seven hundred seventy-six".