Search a number
-
+
6069966336 = 29347229103
BaseRepresentation
bin1011010011100110…
…00101011000000000
3120200000201020110000
411221303011120000
544412402410321
62442152240000
7303263601600
oct55163053000
916600636400
106069966336
112635379605
1212149a0000
13759725175
14418222c00
15257d58826
hex169cc5600

6069966336 has 600 divisors, whose sum is σ = 22013568720. Its totient is φ = 1658216448.

The previous prime is 6069966311. The next prime is 6069966359. The reversal of 6069966336 is 6336699606.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 58931661 + ... + 58931763.

Almost surely, 26069966336 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 6069966336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11006784360).

6069966336 is an abundant number, since it is smaller than the sum of its proper divisors (15943602384).

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

6069966336 is a wasteful number, since it uses less digits than its factorization.

6069966336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 5668704, while the sum is 54.

The square root of 6069966336 is about 77909.9886792445. The cubic root of 6069966336 is about 1824.1564962678.

The spelling of 6069966336 in words is "six billion, sixty-nine million, nine hundred sixty-six thousand, three hundred thirty-six".