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249822702368 = 2514925932
BaseRepresentation
bin1110100010101010010…
…1111110101100100000
3212212211120111012111022
43220222211332230200
513043114102433433
6310433355305012
724022560635021
oct3505245765440
9785746435438
10249822702368
1196a49447988
124050114b168
131a734423055
14c13d05cc48
156772496698
hex3a2a97eb20

249822702368 has 54 divisors (see below), whose sum is σ = 495997947459. Its totient is φ = 123863790592.

The previous prime is 249822702361. The next prime is 249822702499. The reversal of 249822702368 is 863207228942.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

249822702368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 50288959504 + 199533742864 = 224252^2 + 446692^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=353428.

It is a super-2 number, since 2×2498227023682 (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 (249822702361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 421285880 + ... + 421286472.

Almost surely, 2249822702368 is an apocalyptic number.

It is an amenable number.

249822702368 is a deficient number, since it is larger than the sum of its proper divisors (246175245091).

249822702368 is an frugal number, since it uses more digits than its factorization.

249822702368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 53.

The spelling of 249822702368 in words is "two hundred forty-nine billion, eight hundred twenty-two million, seven hundred two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 149 298 593 596 1186 1192 2372 2384 4744 4768 9488 18976 22201 44402 88357 88804 176714 177608 351649 353428 355216 703298 706856 710432 1406596 1413712 2813192 2827424 5626384 11252768 13165193 26330386 52395701 52660772 104791402 105321544 209582804 210643088 419165608 421286176 838331216 1676662432 7806959449 15613918898 31227837796 62455675592 124911351184 249822702368