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760421880640 = 265293713731613
BaseRepresentation
bin10110001000011001010…
…11010001001101000000
32200200210002220221221001
423010030223101031000
544424321000140030
61341155531541344
7105636651223642
oct13041453211500
92620702827831
10760421880640
11273547366944
1210345b8ba854
1356927429b36
1428b39c16892
1514ba8891cca
hexb10cad1340

760421880640 has 224 divisors, whose sum is σ = 1926416040480. Its totient is φ = 285357735936.

The previous prime is 760421880629. The next prime is 760421880641. The reversal of 760421880640 is 46088124067.

It can be written as a sum of positive squares in 16 ways, for example, as 23804786944 + 736617093696 = 154288^2 + 858264^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (760421880641) 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, 471432474 + ... + 471434086.

Almost surely, 2760421880640 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 760421880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963208020240).

760421880640 is an abundant number, since it is smaller than the sum of its proper divisors (1165994159840).

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

760421880640 is a wasteful number, since it uses less digits than its factorization.

760421880640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The spelling of 760421880640 in words is "seven hundred sixty billion, four hundred twenty-one million, eight hundred eighty thousand, six hundred forty".