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6066054060 = 22351147283691
BaseRepresentation
bin1011010011001000…
…01010001110101100
3120122202100110210220
411221210022032230
544410402212220
62441532331340
7303215415543
oct55144121654
916582313726
106066054060
112633147220
121213613b50
13758985501
144178c515a
15257834540
hex16990a3ac

6066054060 has 192 divisors, whose sum is σ = 19017621504. Its totient is φ = 1432108800.

The previous prime is 6066054023. The next prime is 6066054077. The reversal of 6066054060 is 604506606.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8778315 + ... + 8779005.

It is an arithmetic number, because the mean of its divisors is an integer number (99050112).

Almost surely, 26066054060 is an apocalyptic number.

6066054060 is a gapful number since it is divisible by the number (60) 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 6066054060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9508810752).

6066054060 is an abundant number, since it is smaller than the sum of its proper divisors (12951567444).

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

6066054060 is a wasteful number, since it uses less digits than its factorization.

6066054060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 6066054060 is about 77884.8769659425. The cubic root of 6066054060 is about 1823.7645041168.

The spelling of 6066054060 in words is "six billion, sixty-six million, fifty-four thousand, sixty", and thus it is an eban number.