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6008110144 = 2696892
BaseRepresentation
bin1011001100001110…
…00111110001000000
3120111201022121200221
411212013013301000
544301034011034
62432102352424
7301613044051
oct54607076100
916451277627
106008110144
112603470093
1211b812b714
1374997837a
1440dd20728
152526dabb4
hex1661c7c40

6008110144 has 21 divisors (see below), whose sum is σ = 11923574197. Its totient is φ = 3003745024.

The previous prime is 6008110033. The next prime is 6008110151. The reversal of 6008110144 is 4410118006.

The square root of 6008110144 is 77512.

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

It can be written as a sum of positive squares in only one way, i.e., 3353799744 + 2654310400 = 57912^2 + 51520^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 615252 + ... + 624940.

Almost surely, 26008110144 is an apocalyptic number.

6008110144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6008110144 is the 77512-nd square number.

It is an amenable number.

6008110144 is a deficient number, since it is larger than the sum of its proper divisors (5915464053).

6008110144 is an frugal number, since it uses more digits than its factorization.

6008110144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19390 (or 9691 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The cubic root of 6008110144 is about 1817.9389525349.

Multiplying 6008110144 by its sum of digits (25), we get a square (150202753600 = 3875602).

It can be divided in two parts, 60081 and 10144, that added together give a square (70225 = 2652).

The spelling of 6008110144 in words is "six billion, eight million, one hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 9689 19378 38756 77512 155024 310048 620096 93876721 187753442 375506884 751013768 1502027536 3004055072 6008110144