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5974131840 = 2735171031777
BaseRepresentation
bin1011001000001011…
…00000010010000000
3120102100101100020020
411210011200102000
544213334204330
62424450213440
7301021165665
oct54405402200
916370340206
105974131840
112596272746
1211a8884280
1374290c671
144095d7a6c
1524e728210
hex164160480

5974131840 has 256 divisors, whose sum is σ = 20369905920. Its totient is φ = 1483997184.

The previous prime is 5974131833. The next prime is 5974131847. The reversal of 5974131840 is 481314795.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5974131833) and next prime (5974131847).

It is a junction number, because it is equal to n+sod(n) for n = 5974131792 and 5974131801.

It is not an unprimeable number, because it can be changed into a prime (5974131847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3361032 + ... + 3362808.

It is an arithmetic number, because the mean of its divisors is an integer number (79569945).

Almost surely, 25974131840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5974131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10184952960).

5974131840 is an abundant number, since it is smaller than the sum of its proper divisors (14395774080).

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

5974131840 is a wasteful number, since it uses less digits than its factorization.

5974131840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 5974131840 is about 77292.5083044922. The cubic root of 5974131840 is about 1814.5054105464.

The spelling of 5974131840 in words is "five billion, nine hundred seventy-four million, one hundred thirty-one thousand, eight hundred forty".