Search a number
-
+
6323390221320 = 23325315227108401
BaseRepresentation
bin101110000000100011101…
…1011011000110000001000
3211101111202221021221020200
41130001013123120300020
51312100300344040240
621240531513452200
71221564335016564
oct134010733306010
924344687257220
106323390221320
112018809a25177
12861622711060
1336b3a7047243
1417c0a759a6a4
15ae744d37930
hex5c0476d8c08

6323390221320 has 192 divisors, whose sum is σ = 21218208560640. Its totient is φ = 1631515392000.

The previous prime is 6323390221297. The next prime is 6323390221381. The reversal of 6323390221320 is 231220933236.

6323390221320 is a `hidden beast` number, since 6 + 3 + 23 + 3 + 90 + 221 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58279120 + ... + 58387520.

It is an arithmetic number, because the mean of its divisors is an integer number (110511502920).

Almost surely, 26323390221320 is an apocalyptic number.

6323390221320 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 6323390221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10609104280320).

6323390221320 is an abundant number, since it is smaller than the sum of its proper divisors (14894818339320).

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

6323390221320 is a wasteful number, since it uses less digits than its factorization.

6323390221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113676 (or 113669 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 6323390221320 in words is "six trillion, three hundred twenty-three billion, three hundred ninety million, two hundred twenty-one thousand, three hundred twenty".