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793401714361 = 439220292
BaseRepresentation
bin10111000101110100110…
…11010110011010111001
32210211220112022002201001
423202322123112122321
5100444341314324421
61404252252125001
7111215143204444
oct13427233263271
92724815262631
10793401714361
11286530647073
12109924766761
1359a81c65449
142a587cd865b
1515988dc9691
hexb8ba6d66b9

793401714361 has 9 divisors (see below), whose sum is σ = 795605241231. Its totient is φ = 791204280984.

The previous prime is 793401714331. The next prime is 793401714367. The reversal of 793401714361 is 163417104397.

The square root of 793401714361 is 890731.

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., 787157553961 + 6244160400 = 887219^2 + 79020^2 .

It is not a de Polignac number, because 793401714361 - 227 = 793267496633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (793401714367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 391029895 + ... + 391031923.

It is an arithmetic number, because the mean of its divisors is an integer number (88400582359).

Almost surely, 2793401714361 is an apocalyptic number.

793401714361 is the 890731-st square number.

793401714361 is the 445366-th centered octagonal number.

It is an amenable number.

793401714361 is a deficient number, since it is larger than the sum of its proper divisors (2203526870).

793401714361 is an frugal number, since it uses more digits than its factorization.

793401714361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4936 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 46.

The spelling of 793401714361 in words is "seven hundred ninety-three billion, four hundred one million, seven hundred fourteen thousand, three hundred sixty-one".

Divisors: 1 439 2029 192721 890731 4116841 391030909 1807293199 793401714361