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6794750144 = 2671347103241
BaseRepresentation
bin1100101001111111…
…11010100011000000
3122112112112001220202
412110333322203000
5102403424001034
63042123024332
7330244265120
oct62477724300
918475461822
106794750144
112977506396
12139766b0a8
13843931220
144865acc80
1529b7c447e
hex194ffa8c0

6794750144 has 224 divisors, whose sum is σ = 17183502336. Its totient is φ = 2594488320.

The previous prime is 6794750107. The next prime is 6794750147. The reversal of 6794750144 is 4410574976.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (47).

It is not an unprimeable number, because it can be changed into a prime (6794750147) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 28193864 + ... + 28194104.

It is an arithmetic number, because the mean of its divisors is an integer number (76712064).

Almost surely, 26794750144 is an apocalyptic number.

6794750144 is a gapful number since it is divisible by the number (64) 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 6794750144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8591751168).

6794750144 is an abundant number, since it is smaller than the sum of its proper divisors (10388752192).

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

6794750144 is a wasteful number, since it uses less digits than its factorization.

6794750144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 47.

The square root of 6794750144 is about 82430.2744384610. The cubic root of 6794750144 is about 1894.0487976880.

The spelling of 6794750144 in words is "six billion, seven hundred ninety-four million, seven hundred fifty thousand, one hundred forty-four".