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5384038464 = 26337263587
BaseRepresentation
bin1010000001110100…
…11110100001000000
3111220020000111022000
411000322132201000
542011303212324
62250130344000
7250264400100
oct50072364100
914806014260
105384038464
112313170872
12106312b000
1367a5a1c9c
143910ad200
15217a159c9
hex140e9e840

5384038464 has 168 divisors, whose sum is σ = 18412541280. Its totient is φ = 1538272512.

The previous prime is 5384038459. The next prime is 5384038481. The reversal of 5384038464 is 4648304835.

5384038464 is a `hidden beast` number, since 538 + 40 + 38 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52879 + ... + 116465.

It is an arithmetic number, because the mean of its divisors is an integer number (109598460).

Almost surely, 25384038464 is an apocalyptic number.

5384038464 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 5384038464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9206270640).

5384038464 is an abundant number, since it is smaller than the sum of its proper divisors (13028502816).

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

5384038464 is a wasteful number, since it uses less digits than its factorization.

5384038464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63622 (or 63599 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The square root of 5384038464 is about 73376.0074138679. The cubic root of 5384038464 is about 1752.6803512662.

The spelling of 5384038464 in words is "five billion, three hundred eighty-four million, thirty-eight thousand, four hundred sixty-four".