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11738639025 = 32523122332
BaseRepresentation
bin10101110111010110…
…10110101010110001
31010022002022122111100
422323223112222301
5143020042422100
65220451435013
7563615533251
oct127353265261
933262278440
1011738639025
114a84179273
1223372b5a69
131150c74c69
147d5025961
1548a845400
hex2bbad6ab1

11738639025 has 81 divisors (see below), whose sum is σ = 21818959617. Its totient is φ = 6032649600.

The previous prime is 11738638999. The next prime is 11738639027. The reversal of 11738639025 is 52093683711.

11738639025 = 13 + 23 + ... + 4653.

The square root of 11738639025 is 108345.

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

11738639025 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 8 + 639 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2311782561 + 9426856464 = 48081^2 + 97092^2 .

It is not a de Polignac number, because 11738639025 - 27 = 11738638897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11738639027) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 50380309 + ... + 50380541.

Almost surely, 211738639025 is an apocalyptic number.

11738639025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11738639025 is the 108345-th square number.

11738639025 is the 54173-rd centered octagonal number.

It is an amenable number.

11738639025 is a deficient number, since it is larger than the sum of its proper divisors (10080320592).

11738639025 is an equidigital number, since it uses as much as digits as its factorization.

11738639025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 11738639025 in words is "eleven billion, seven hundred thirty-eight million, six hundred thirty-nine thousand, twenty-five".

Divisors: 1 3 5 9 15 25 31 45 75 93 155 225 233 279 465 699 775 961 1165 1395 2097 2325 2883 3495 4805 5825 6975 7223 8649 10485 14415 17475 21669 24025 36115 43245 52425 54289 65007 72075 108345 162867 180575 216225 223913 271445 325035 488601 541725 671739 814335 1119565 1357225 1625175 1682959 2015217 2443005 3358695 4071675 5048877 5597825 8414795 10076085 12215025 15146631 16793475 25244385 42073975 50380425 52171729 75733155 126221925 156515187 260858645 378665775 469545561 782575935 1304293225 2347727805 3912879675 11738639025