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20993981449 = 7429572
BaseRepresentation
bin10011100011010101…
…101011110000001001
32000012002212202110111
4103203111223300021
5320443424401244
613351113514321
71342151620000
oct234325536011
960162782414
1020993981449
1189a3611aa1
12409aa129a1
131c975b853c
141032307c37
1582d15de34
hex4e356bc09

20993981449 has 15 divisors (see below), whose sum is σ = 24499806407. Its totient is φ = 17988755736.

The previous prime is 20993981441. The next prime is 20993981473. The reversal of 20993981449 is 94418939902.

The square root of 20993981449 is 144893.

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., 3903125625 + 17090855824 = 62475^2 + 130732^2 .

It is not a de Polignac number, because 20993981449 - 23 = 20993981441 is a prime.

It is a super-2 number, since 2×209939814492 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20993981393 and 20993981402.

It is not an unprimeable number, because it can be changed into a prime (20993981441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7098279 + ... + 7101235.

Almost surely, 220993981449 is an apocalyptic number.

20993981449 is the 144893-rd square number.

20993981449 is the 72447-th centered octagonal number.

It is an amenable number.

20993981449 is a deficient number, since it is larger than the sum of its proper divisors (3505824958).

20993981449 is an frugal number, since it uses more digits than its factorization.

20993981449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5942 (or 2964 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 58.

The spelling of 20993981449 in words is "twenty billion, nine hundred ninety-three million, nine hundred eighty-one thousand, four hundred forty-nine".

Divisors: 1 7 49 343 2401 2957 20699 144893 1014251 7099757 8743849 61206943 428448601 2999140207 20993981449