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974086093764 = 2236743732
BaseRepresentation
bin11100010110011000000…
…11100011101111000100
310110010021201211121000000
432023030003203233010
5111424412020000024
62023253341321300
7130242522120000
oct16131403435704
93403251747000
10974086093764
11346120229663
1213894b566230
1370b1860a104
1435208963700
151a51171bcc9
hexe2cc0e3bc4

974086093764 has 315 divisors, whose sum is σ = 2989612205853. Its totient is φ = 277564172256.

The previous prime is 974086093751. The next prime is 974086093781. The reversal of 974086093764 is 467390680479.

The square root of 974086093764 is 986958.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 529474522500 + 444611571264 = 727650^2 + 666792^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 2611490682 + ... + 2611491054.

Almost surely, 2974086093764 is an apocalyptic number.

974086093764 is the 986958-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 974086093764

974086093764 is an abundant number, since it is smaller than the sum of its proper divisors (2015526112089).

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

974086093764 is an frugal number, since it uses more digits than its factorization.

974086093764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 974086093764 in words is "nine hundred seventy-four billion, eighty-six million, ninety-three thousand, seven hundred sixty-four".