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5934415104 = 2834232541
BaseRepresentation
bin1011000011011011…
…11111110100000000
3120022120122112010000
411201231333310000
544123202240404
62420511040000
7300026460522
oct54155776400
916276575100
105934415104
1125759059a2
121197510000
13737614a37
14404219a12
1524aed0339
hex161b7fd00

5934415104 has 270 divisors, whose sum is σ = 18532358306. Its totient is φ = 1888634880.

The previous prime is 5934415093. The next prime is 5934415117. The reversal of 5934415104 is 4015144395.

It is a happy number.

5934415104 is a `hidden beast` number, since 593 + 44 + 15 + 10 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4837480704 + 1096934400 = 69552^2 + 33120^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 10969074 + ... + 10969614.

Almost surely, 25934415104 is an apocalyptic number.

5934415104 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 5934415104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9266179153).

5934415104 is an abundant number, since it is smaller than the sum of its proper divisors (12597943202).

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

5934415104 is an equidigital number, since it uses as much as digits as its factorization.

5934415104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5934415104 is about 77035.1549878366. The cubic root of 5934415104 is about 1810.4754511381.

Adding to 5934415104 its reverse (4015144395), we get a palindrome (9949559499).

The spelling of 5934415104 in words is "five billion, nine hundred thirty-four million, four hundred fifteen thousand, one hundred four".