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12444518025 = 3452372672
BaseRepresentation
bin10111001011100000…
…00100011010001001
31012010021120000110000
423211300010122021
5200441244034100
65414505113213
7620246441442
oct134560043211
935107500400
1012444518025
115306673645
1224b3788809
131234292244
14860a902c9
154cc7c9900
hex2e5c04689

12444518025 has 135 divisors (see below), whose sum is σ = 24050282949. Its totient is φ = 6361312320.

The previous prime is 12444518011. The next prime is 12444518029. The reversal of 12444518025 is 52081544421.

The square root of 12444518025 is 111555.

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

12444518025 is a `hidden beast` number, since 12 + 4 + 445 + 180 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1181365641 + 11263152384 = 34371^2 + 106128^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 12444518025 - 211 = 12444515977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12444518029) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 185739042 + ... + 185739108.

Almost surely, 212444518025 is an apocalyptic number.

12444518025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12444518025 is the 111555-th square number.

12444518025 is the 55778-th centered octagonal number.

It is an amenable number.

12444518025 is a deficient number, since it is larger than the sum of its proper divisors (11605764924).

12444518025 is an frugal number, since it uses more digits than its factorization.

12444518025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

Multiplying 12444518025 by its sum of digits (36), we get a square (448002648900 = 6693302).

The spelling of 12444518025 in words is "twelve billion, four hundred forty-four million, five hundred eighteen thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 37 45 67 75 81 111 135 185 201 225 333 335 405 555 603 675 925 999 1005 1369 1665 1675 1809 2025 2479 2775 2997 3015 4107 4489 4995 5025 5427 6845 7437 8325 9045 12321 12395 13467 14985 15075 20535 22311 22445 24975 27135 34225 36963 37185 40401 45225 61605 61975 66933 67335 74925 91723 102675 110889 111555 112225 121203 135675 166093 184815 185925 200799 202005 275169 308025 334665 336675 363609 458615 498279 554445 557775 606015 825507 830465 924075 1003995 1010025 1375845 1494837 1673325 1818045 2293075 2476521 2491395 2772225 3030075 4127535 4152325 4484511 5019975 6145441 6879225 7429563 7474185 9090225 12382605 12456975 13453533 18436323 20637675 22422555 30727205 37147815 37370925 55308969 61913025 67267665 92181615 112112775 153636025 165926907 185739075 276544845 336338325 460908075 497780721 829634535 1382724225 2488903605 4148172675 12444518025