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6060311104 = 263722632
BaseRepresentation
bin1011010010011100…
…10000001001000000
3120122100112200221211
411221032100021000
544402414423404
62441205255504
7303115536331
oct55116201100
916570480854
106060311104
11262a984481
121211704594
13757724503
14416c2c288
1525709cb04
hex169390240

6060311104 has 63 divisors (see below), whose sum is σ = 12406913337. Its totient is φ = 2937049344.

The previous prime is 6060311099. The next prime is 6060311183. The reversal of 6060311104 is 4011130606.

It is a happy number.

The square root of 6060311104 is 77848.

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., 5422849600 + 637461504 = 73640^2 + 25248^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23042877 + ... + 23043139.

Almost surely, 26060311104 is an apocalyptic number.

6060311104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6060311104 is the 77848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6060311104

6060311104 is an abundant number, since it is smaller than the sum of its proper divisors (6346602233).

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

6060311104 is an frugal number, since it uses more digits than its factorization.

6060311104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The cubic root of 6060311104 is about 1823.1887807966.

The spelling of 6060311104 in words is "six billion, sixty million, three hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 37 64 74 148 263 296 526 592 1052 1184 1369 2104 2368 2738 4208 5476 8416 9731 10952 16832 19462 21904 38924 43808 69169 77848 87616 138338 155696 276676 311392 360047 553352 622784 720094 1106704 1440188 2213408 2559253 2880376 4426816 5118506 5760752 10237012 11521504 20474024 23043008 40948048 81896096 94692361 163792192 189384722 378769444 757538888 1515077776 3030155552 6060311104