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5995404900 = 223252292892
BaseRepresentation
bin1011001010101101…
…01001111001100100
3120110211102010101100
411211112221321210
544234310424100
62430530200100
7301400046402
oct54526517144
916424363340
105995404900
1125a7282491
1211b3a23030
1374714a384
1440c374472
1525152b400
hex1655a9e64

5995404900 has 243 divisors, whose sum is σ = 19683756001. Its totient is φ = 1526300160.

The previous prime is 5995404887. The next prime is 5995404901. The reversal of 5995404900 is 94045995.

The square root of 5995404900 is 77430.

It is a perfect power (a square), and thus also a powerful number.

5995404900 is a `hidden beast` number, since 599 + 54 + 0 + 4 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 5343317604 + 652087296 = 73098^2 + 25536^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5995404901) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 67364056 + ... + 67364144.

Almost surely, 25995404900 is an apocalyptic number.

5995404900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5995404900 is the 77430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5995404900

5995404900 is an abundant number, since it is smaller than the sum of its proper divisors (13688351101).

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

5995404900 is a wasteful number, since it uses less digits than its factorization.

5995404900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The cubic root of 5995404900 is about 1816.6565937587.

The spelling of 5995404900 in words is "five billion, nine hundred ninety-five million, four hundred four thousand, nine hundred".