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5075432054784 = 213337213217163
BaseRepresentation
bin100100111011011011101…
…0100110010000000000000
3122222012120120211112121000
41021312313110302000000
51131123441101223114
614443342111132000
71032454636435200
oct111666724620000
918865516745530
105075432054784
11168752a095803
1269b79bb14000
132aa7c3a23100
1413791b9aa400
158c054b7ee09
hex49db7532000

5075432054784 has 2016 divisors, whose sum is σ = 20178817899840. Its totient is φ = 1252106698752.

The previous prime is 5075432054779. The next prime is 5075432054831. The reversal of 5075432054784 is 4874502345705.

5075432054784 is a `hidden beast` number, since 5 + 0 + 7 + 543 + 20 + 5 + 4 + 78 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5075432054784.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31137619887 + ... + 31137620049.

Almost surely, 25075432054784 is an apocalyptic number.

5075432054784 is a gapful number since it is divisible by the number (54) 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 5075432054784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10089408949920).

5075432054784 is an abundant number, since it is smaller than the sum of its proper divisors (15103385845056).

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

5075432054784 is a wasteful number, since it uses less digits than its factorization.

5075432054784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 18816000, while the sum is 54.

The spelling of 5075432054784 in words is "five trillion, seventy-five billion, four hundred thirty-two million, fifty-four thousand, seven hundred eighty-four".