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5405799168 = 283372111451
BaseRepresentation
bin1010000100011010…
…11111001100000000
3111221201222001101000
411002031133030000
542032341033133
62252225012000
7250650351300
oct50215371400
914851861330
105405799168
112324483a20
12106a484000
13681c50943
14393d35600
152198b3413
hex14235f300

5405799168 has 432 divisors, whose sum is σ = 20300353920. Its totient is φ = 1403136000.

The previous prime is 5405799163. The next prime is 5405799187. The reversal of 5405799168 is 8619975045.

5405799168 is a `hidden beast` number, since 5 + 4 + 0 + 579 + 9 + 1 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (5405799163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3724843 + ... + 3726293.

It is an arithmetic number, because the mean of its divisors is an integer number (46991560).

Almost surely, 25405799168 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 5405799168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10150176960).

5405799168 is an abundant number, since it is smaller than the sum of its proper divisors (14894554752).

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

5405799168 is a wasteful number, since it uses less digits than its factorization.

5405799168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The square root of 5405799168 is about 73524.1400357733. The cubic root of 5405799168 is about 1755.0384504689.

The spelling of 5405799168 in words is "five billion, four hundred five million, seven hundred ninety-nine thousand, one hundred sixty-eight".