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7132451040 = 253251113191823
BaseRepresentation
bin1101010010010000…
…01001000011100000
3200102001222001110100
412221020021003200
5104101401413130
63135425102400
7341514555621
oct65110110340
920361861410
107132451040
1130300a0040
121470787a00
1389889c240
144b9397a48
152bb27dc60
hex1a92090e0

7132451040 has 576 divisors, whose sum is σ = 30116136960. Its totient is φ = 1511239680.

The previous prime is 7132451033. The next prime is 7132451083. The reversal of 7132451040 is 401542317.

It is a junction number, because it is equal to n+sod(n) for n = 7132450995 and 7132451013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3911569 + ... + 3913391.

It is an arithmetic number, because the mean of its divisors is an integer number (52284960).

Almost surely, 27132451040 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 7132451040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15058068480).

7132451040 is an abundant number, since it is smaller than the sum of its proper divisors (22983685920).

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

7132451040 is a wasteful number, since it uses less digits than its factorization.

7132451040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 7132451040 is about 84453.8396995661. The cubic root of 7132451040 is about 1924.9211000438.

Adding to 7132451040 its reverse (401542317), we get a palindrome (7533993357).

The spelling of 7132451040 in words is "seven billion, one hundred thirty-two million, four hundred fifty-one thousand, forty".