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11288000025 = 36527872
BaseRepresentation
bin10101000001101000…
…10011011000011001
31002010200100211000000
422200310103120121
5141104212000100
65104033003213
7546504263031
oct124064233031
932120324000
1011288000025
114872866545
1222303b3509
1310ab7b3473
1479123c8c1
15460ecc900
hex2a0d13619

11288000025 has 63 divisors (see below), whose sum is σ = 21012779631. Its totient is φ = 6012617040.

The previous prime is 11287999981. The next prime is 11288000027. The reversal of 11288000025 is 52000088211.

The square root of 11288000025 is 106245.

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., 4063680009 + 7224320016 = 63747^2 + 84996^2 .

It is not a de Polignac number, because 11288000025 - 229 = 10751129113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11288000027) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 14342682 + ... + 14343468.

Almost surely, 211288000025 is an apocalyptic number.

11288000025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11288000025 is the 106245-th square number.

11288000025 is the 53123-rd centered octagonal number.

It is an amenable number.

11288000025 is a deficient number, since it is larger than the sum of its proper divisors (9724779606).

11288000025 is an frugal number, since it uses more digits than its factorization.

11288000025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

Adding to 11288000025 its reverse (52000088211), we get a palindrome (63288088236).

The spelling of 11288000025 in words is "eleven billion, two hundred eighty-eight million, twenty-five", and thus it is an aban number.

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 675 729 787 1215 2025 2361 3645 3935 6075 7083 11805 18225 19675 21249 35415 59025 63747 106245 177075 191241 318735 531225 573723 619369 956205 1593675 1858107 2868615 3096845 4781025 5574321 9290535 14343075 15484225 16722963 27871605 46452675 50168889 83614815 139358025 150506667 250844445 418074075 451520001 752533335 1254222225 2257600005 3762666675 11288000025