Search a number
-
+
6074284647132 = 2232131723307108127
BaseRepresentation
bin101100001100100011110…
…0101000010001011011100
3210111200210100012121200100
41120121013211002023130
51244010113332202012
620530253212501100
71164565302411342
oct130310745021334
923450710177610
106074284647132
111a320a9366309
128212a177a790
13350a5837c7c0
1416ddd5893992
15a80157e88dc
hex586479422dc

6074284647132 has 288 divisors, whose sum is σ = 18329138860032. Its totient is φ = 1677091350528.

The previous prime is 6074284647121. The next prime is 6074284647169. The reversal of 6074284647132 is 2317464824706.

6074284647132 is a `hidden beast` number, since 6 + 0 + 7 + 42 + 8 + 464 + 7 + 132 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56123253 + ... + 56231379.

It is an arithmetic number, because the mean of its divisors is an integer number (63642843264).

Almost surely, 26074284647132 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 6074284647132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9164569430016).

6074284647132 is an abundant number, since it is smaller than the sum of its proper divisors (12254854212900).

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

6074284647132 is a wasteful number, since it uses less digits than its factorization.

6074284647132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108497 (or 108492 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 6074284647132 in words is "six trillion, seventy-four billion, two hundred eighty-four million, six hundred forty-seven thousand, one hundred thirty-two".