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249213619369 = 11213234912
BaseRepresentation
bin1110100000011001001…
…0100000110010101001
3212211021010101120200201
43220012102200302221
513040342141304434
6310253120432201
724001513545601
oct3500622406251
9784233346621
10249213619369
1196766655900
1240371178661
131a668197100
14c0c21cdc01
156738c82614
hex3a064a0ca9

249213619369 has 27 divisors (see below), whose sum is σ = 296706356247. Its totient is φ = 209070404400.

The previous prime is 249213619363. The next prime is 249213619379. The reversal of 249213619369 is 963916312942.

The square root of 249213619369 is 499213.

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., 36865920025 + 212347699344 = 192005^2 + 460812^2 .

It is not a de Polignac number, because 249213619369 - 27 = 249213619241 is a prime.

It is a super-2 number, since 2×2492136193692 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (249213619363) 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, 71385714 + ... + 71389204.

Almost surely, 2249213619369 is an apocalyptic number.

249213619369 is the 499213-rd square number.

249213619369 is the 249607-th centered octagonal number.

It is an amenable number.

249213619369 is a deficient number, since it is larger than the sum of its proper divisors (47492736878).

249213619369 is an frugal number, since it uses more digits than its factorization.

249213619369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7030 (or 3515 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 55.

The spelling of 249213619369 in words is "two hundred forty-nine billion, two hundred thirteen million, six hundred nineteen thousand, three hundred sixty-nine".

Divisors: 1 11 13 121 143 169 1573 1859 3491 20449 38401 45383 422411 499213 589979 5491343 6489769 12187081 71387459 134057891 158432053 1474636801 1742752583 2059616689 19170278413 22655783579 249213619369