Search a number
-
+
6041722296960 = 2735573532137
BaseRepresentation
bin101011111101011001010…
…1101100001101010000000
3210101120202000101211200000
41113322302231201222000
51242441421402000320
620503310124400000
71162333340121000
oct127726255415200
923346660354600
106041722296960
111a1a309802709
12816b146a6000
1334a96919768c
1416c5c7008000
15a725bc79c90
hex57eb2b61a80

6041722296960 has 1536 divisors, whose sum is σ = 25719011136000. Its totient is φ = 1354275127296.

The previous prime is 6041722296919. The next prime is 6041722296977. The reversal of 6041722296960 is 696922271406.

6041722296960 is a `hidden beast` number, since 60 + 417 + 2 + 22 + 96 + 9 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6041722296897 and 6041722296906.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2827197012 + ... + 2827199148.

It is an arithmetic number, because the mean of its divisors is an integer number (16744147875).

Almost surely, 26041722296960 is an apocalyptic number.

6041722296960 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 6041722296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12859505568000).

6041722296960 is an abundant number, since it is smaller than the sum of its proper divisors (19677288839040).

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

6041722296960 is an equidigital number, since it uses as much as digits as its factorization.

6041722296960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 6041722296960 in words is "six trillion, forty-one billion, seven hundred twenty-two million, two hundred ninety-six thousand, nine hundred sixty".