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5904000000 = 210325641
BaseRepresentation
bin1010111111110011…
…11110010000000000
3120020110102021102200
411133321332100000
544042411000000
62413503113200
7266210112663
oct53771762000
916213367380
105904000000
11255a721648
1211892a2800
13731225b32
1440017d6da
152484c3500
hex15fe7e400

5904000000 has 462 divisors, whose sum is σ = 21829056522. Its totient is φ = 1536000000.

The previous prime is 5903999999. The next prime is 5904000059. The reversal of 5904000000 is 4095.

It can be written as a sum of positive squares in 7 ways, for example, as 5337179136 + 566820864 = 73056^2 + 23808^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 41 ways as a sum of consecutive naturals, for example, 143999980 + ... + 144000020.

Almost surely, 25904000000 is an apocalyptic number.

5904000000 is a gapful number since it is divisible by the number (50) 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 5904000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10914528261).

5904000000 is an abundant number, since it is smaller than the sum of its proper divisors (15925056522).

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

5904000000 is an frugal number, since it uses more digits than its factorization.

5904000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5904000000 is about 76837.4908491942. The cubic root of 5904000000 is about 1807.3771316192.

Adding to 5904000000 its reverse (4095), we get a palindrome (5904004095).

The spelling of 5904000000 in words is "five billion, nine hundred four million", and thus it is an aban number.