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13638269089 = 29240272
BaseRepresentation
bin11001011001110011…
…10111100010100001
31022012110210212001101
430230321313202201
5210412344102324
610133151234401
7661653242314
oct145471674241
938173725041
1013638269089
1158694a1475
122787518a01
1313946a9313
1493543497b
1554c4cd944
hex32ce778a1

13638269089 has 9 divisors (see below), whose sum is σ = 14128279347. Its totient is φ = 13164714024.

The previous prime is 13638269081. The next prime is 13638269119. The reversal of 13638269089 is 98096283631.

The square root of 13638269089 is 116783.

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., 7151577489 + 6486691600 = 84567^2 + 80540^2 .

It is not a de Polignac number, because 13638269089 - 23 = 13638269081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13638269081) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3384694 + ... + 3388720.

Almost surely, 213638269089 is an apocalyptic number.

13638269089 is the 116783-rd square number.

13638269089 is the 58392-nd centered octagonal number.

It is an amenable number.

13638269089 is a deficient number, since it is larger than the sum of its proper divisors (490010258).

13638269089 is an frugal number, since it uses more digits than its factorization.

13638269089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8112 (or 4056 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 55.

The spelling of 13638269089 in words is "thirteen billion, six hundred thirty-eight million, two hundred sixty-nine thousand, eighty-nine".

Divisors: 1 29 841 4027 116783 3386707 16216729 470285141 13638269089