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7132725768 = 2337217231677
BaseRepresentation
bin1101010010010010…
…01100001000001000
3200102002111000022110
412221021030020020
5104101434211033
63135435022320
7341520111600
oct65111141010
920362430273
107132725768
113030268493
12147089a9a0
138989672bc
144b9429c00
152bb2d5363
hex1a924c208

7132725768 has 288 divisors, whose sum is σ = 22779498240. Its totient is φ = 1853429760.

The previous prime is 7132725767. The next prime is 7132725793. The reversal of 7132725768 is 8675272317.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7132725767) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 10535446 + ... + 10536122.

It is an arithmetic number, because the mean of its divisors is an integer number (79095480).

Almost surely, 27132725768 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 7132725768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11389749120).

7132725768 is an abundant number, since it is smaller than the sum of its proper divisors (15646772472).

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

7132725768 is a wasteful number, since it uses less digits than its factorization.

7132725768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 737 counting only the distinct ones).

The product of its digits is 987840, while the sum is 48.

The square root of 7132725768 is about 84455.4661818878. The cubic root of 7132725768 is about 1924.9458144527.

The spelling of 7132725768 in words is "seven billion, one hundred thirty-two million, seven hundred twenty-five thousand, seven hundred sixty-eight".