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493740912889 = 7237227132
BaseRepresentation
bin1110010111101010100…
…00000111000011111001
31202012102122122010212101
413023311100013003321
531042140133203024
61014453233143401
750446234341100
oct7136520070371
91665378563771
10493740912889
11180437967734
127b8349bab61
13377374aa433
1419c7bc51037
15cc9b3bdc44
hex72f54070f9

493740912889 has 27 divisors (see below), whose sum is σ = 590511893517. Its totient is φ = 411616707264.

The previous prime is 493740912869. The next prime is 493740913007. The reversal of 493740912889 is 988219047394.

The square root of 493740912889 is 702667.

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

It can be written as a sum of positive squares in 4 ways, for example, as 402040960489 + 91699952400 = 634067^2 + 302820^2 .

It is not a de Polignac number, because 493740912889 - 25 = 493740912857 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 493740912889.

It is not an unprimeable number, because it can be changed into a prime (493740912809) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 181989397 + ... + 181992109.

It is an arithmetic number, because the mean of its divisors is an integer number (21870810871).

Almost surely, 2493740912889 is an apocalyptic number.

493740912889 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

493740912889 is the 702667-th square number.

493740912889 is the 351334-th centered octagonal number.

It is an amenable number.

493740912889 is a deficient number, since it is larger than the sum of its proper divisors (96770980628).

493740912889 is an frugal number, since it uses more digits than its factorization.

493740912889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5514 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 64.

Multiplying 493740912889 by its sum of digits (64), we get a square (31599418424896 = 56213362).

The spelling of 493740912889 in words is "four hundred ninety-three billion, seven hundred forty million, nine hundred twelve thousand, eight hundred eighty-nine".

Divisors: 1 7 37 49 259 1369 1813 2713 9583 18991 67081 100381 132937 702667 3714097 4918669 7360369 25998679 51522583 181990753 272333653 360658081 1906335571 10076345161 13344348997 70534416127 493740912889