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6379997280 = 253567283701
BaseRepresentation
bin1011111000100011…
…10000100001100000
3121110122002102221120
411330101300201200
5101031234403110
62533025252240
7314050040106
oct57421604140
917418072846
106379997280
112784384428
1212a0794080
137a8a25927
14447487c76
15275199870
hex17c470860

6379997280 has 192 divisors, whose sum is σ = 20498220288. Its totient is φ = 1667635200.

The previous prime is 6379997227. The next prime is 6379997287. The reversal of 6379997280 is 827999736.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6379997287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9100930 + ... + 9101630.

It is an arithmetic number, because the mean of its divisors is an integer number (106761564).

Almost surely, 26379997280 is an apocalyptic number.

6379997280 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 6379997280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10249110144).

6379997280 is an abundant number, since it is smaller than the sum of its proper divisors (14118223008).

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

6379997280 is a wasteful number, since it uses less digits than its factorization.

6379997280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 60.

The square root of 6379997280 is about 79874.8851642367. The cubic root of 6379997280 is about 1854.6992564416.

The spelling of 6379997280 in words is "six billion, three hundred seventy-nine million, nine hundred ninety-seven thousand, two hundred eighty".