Search a number
-
+
6220578332160 = 29345178812003
BaseRepresentation
bin101101010000101011101…
…0111001001111000000000
3211000200101210120211020000
41122201113113021320000
51303404221023112120
621121405542120000
71211264505254523
oct132412727117000
924020353524200
106220578332160
111a89150331135
1284570b120000
133617a0b06b7a
14177112cdcbba
15abc28d15990
hex5a8575c9e00

6220578332160 has 800 divisors, whose sum is σ = 23629311189792. Its totient is φ = 1558692495360.

The previous prime is 6220578332141. The next prime is 6220578332167. The reversal of 6220578332160 is 612338750226.

6220578332160 is a `hidden beast` number, since 6 + 2 + 20 + 578 + 33 + 21 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6220578332167) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 3105629719 + ... + 3105631721.

Almost surely, 26220578332160 is an apocalyptic number.

6220578332160 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 6220578332160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11814655594896).

6220578332160 is an abundant number, since it is smaller than the sum of its proper divisors (17408732857632).

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

6220578332160 is a wasteful number, since it uses less digits than its factorization.

6220578332160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936 (or 2911 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 6220578332160 in words is "six trillion, two hundred twenty billion, five hundred seventy-eight million, three hundred thirty-two thousand, one hundred sixty".