Search a number
-
+
6066054036 = 22347171311201
BaseRepresentation
bin1011010011001000…
…01010001110010100
3120122202100110210000
411221210022032110
544410402212121
62441532331300
7303215415510
oct55144121624
916582313700
106066054036
1126331471a9
121213613b30
137589854b3
144178c5140
15257834526
hex16990a394

6066054036 has 240 divisors, whose sum is σ = 19351930752. Its totient is φ = 1617408000.

The previous prime is 6066054023. The next prime is 6066054077. The reversal of 6066054036 is 6304506606.

6066054036 is a `hidden beast` number, since 6 + 0 + 6 + 605 + 40 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5050236 + ... + 5051436.

Almost surely, 26066054036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6066054036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9675965376).

6066054036 is an abundant number, since it is smaller than the sum of its proper divisors (13285876716).

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

6066054036 is a wasteful number, since it uses less digits than its factorization.

6066054036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 6066054036 is about 77884.8768118689. The cubic root of 6066054036 is about 1823.7645017116.

The spelling of 6066054036 in words is "six billion, sixty-six million, fifty-four thousand, thirty-six", and thus it is an eban number.