Search a number
-
+
10995239232649 = 72307215432
BaseRepresentation
bin1010000000000000011101…
…0101000010010010001001
31102221010122010102122020201
42200000013111002102021
52420121222220421044
635215050531452201
72213244164264200
oct240000725022211
942833563378221
1010995239232649
11355a0669a0a41
121296b4b457061
13619b01007c59
142a025b18a237
1514102875b7d4
hexa0007542489

10995239232649 has 27 divisors (see below), whose sum is σ = 12840500289357. Its totient is φ = 9387704098584.

The previous prime is 10995239232641. The next prime is 10995239232671. The reversal of 10995239232649 is 94623293259901.

The square root of 10995239232649 is 3315907.

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

It is not a de Polignac number, because 10995239232649 - 23 = 10995239232641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10995239232641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7125883372 + ... + 7125884914.

It is an arithmetic number, because the mean of its divisors is an integer number (475574084791).

Almost surely, 210995239232649 is an apocalyptic number.

10995239232649 is the 3315907-th square number.

10995239232649 is the 1657954-th centered octagonal number.

It is an amenable number.

10995239232649 is a deficient number, since it is larger than the sum of its proper divisors (1845261056708).

10995239232649 is an frugal number, since it uses more digits than its factorization.

10995239232649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3714 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 56687040, while the sum is 64.

Multiplying 10995239232649 by its sum of digits (64), we get a square (703695310889536 = 265272562).

The spelling of 10995239232649 in words is "ten trillion, nine hundred ninety-five billion, two hundred thirty-nine million, two hundred thirty-two thousand, six hundred forty-nine".

Divisors: 1 7 49 307 1543 2149 10801 15043 75607 94249 473701 659743 2380849 3315907 4618201 16665943 23211349 116661601 145426207 730920643 1017983449 5116444501 7125884143 35815111507 224392637401 1570748461807 10995239232649