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23289243247449 = 32612263712
BaseRepresentation
bin1010100101110011100110…
…00100100010001101011001
310001110102121101221011101100
411102321303010202031121
511023032332232404244
6121310533004142013
74622410105224624
oct522716304421531
9101412541834340
1023289243247449
117469a04733673
122741740537909
13ccc221234baa
145a72c3824dbb
152a5c17747b69
hex152e73122359

23289243247449 has 27 divisors (see below), whose sum is σ = 34201831263327. Its totient is φ = 15271055809200.

The previous prime is 23289243247447. The next prime is 23289243247451. The reversal of 23289243247449 is 94474234298232.

The square root of 23289243247449 is 4825893.

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

23289243247449 is a `hidden beast` number, since 2 + 3 + 2 + 8 + 92 + 4 + 32 + 474 + 49 = 666.

It is an interprime number because it is at equal distance from previous prime (23289243247447) and next prime (23289243247451).

It can be written as a sum of positive squares in only one way, i.e., 757322879049 + 22531920368400 = 870243^2 + 4746780^2 .

It is not a de Polignac number, because 23289243247449 - 21 = 23289243247447 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23289243247447) 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, 883125234 + ... + 883151604.

Almost surely, 223289243247449 is an apocalyptic number.

23289243247449 is the 4825893-rd square number.

23289243247449 is the 2412947-th centered octagonal number.

It is an amenable number.

23289243247449 is a deficient number, since it is larger than the sum of its proper divisors (10912588015878).

23289243247449 is an frugal number, since it uses more digits than its factorization.

23289243247449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52870 (or 26435 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 63.

The spelling of 23289243247449 in words is "twenty-three trillion, two hundred eighty-nine billion, two hundred forty-three million, two hundred forty-seven thousand, four hundred forty-nine".

Divisors: 1 3 9 61 183 549 3721 11163 26371 33489 79113 237339 1608631 4825893 14477679 98126491 294379473 695429641 883138419 2086288923 6258866769 42421208101 127263624303 381790872909 2587693694161 7763081082483 23289243247449