Search a number
-
+
6059952009216 = 2123572177309
BaseRepresentation
bin101100000101111000101…
…0010010111000000000000
3210110022210110211011200000
41120023301102113000000
51243241240203243331
620515523054400000
71163550155120100
oct130136122270000
923408713734600
106059952009216
111a27013a21306
1281a561800000
1334c5b2b86271
1416d43614d200
15a79773ab0e6
hex582f1497000

6059952009216 has 936 divisors, whose sum is σ = 22361608891440. Its totient is φ = 1629343973376.

The previous prime is 6059952009203. The next prime is 6059952009257. The reversal of 6059952009216 is 6129002599506.

6059952009216 is a `hidden beast` number, since 6 + 0 + 5 + 99 + 520 + 0 + 9 + 21 + 6 = 666.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 829104570 + ... + 829111878.

It is an arithmetic number, because the mean of its divisors is an integer number (23890607790).

Almost surely, 26059952009216 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 6059952009216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11180804445720).

6059952009216 is an abundant number, since it is smaller than the sum of its proper divisors (16301656882224).

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

6059952009216 is an equidigital number, since it uses as much as digits as its factorization.

6059952009216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7379 (or 7338 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 6059952009216 in words is "six trillion, fifty-nine billion, nine hundred fifty-two million, nine thousand, two hundred sixteen".