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7379669025 = 3452232832
BaseRepresentation
bin1101101111101110…
…01101000000100001
3201001022011000210000
412313313031000201
5110103143402100
63220135530213
7350606103021
oct66767150041
921038130700
107379669025
1131476a3623
12151b529969
13907b79581
1450014ba81
152d2d13900
hex1b7dcd021

7379669025 has 135 divisors (see below), whose sum is σ = 14464114819. Its totient is φ = 3719342880.

The previous prime is 7379669023. The next prime is 7379669029. The reversal of 7379669025 is 5209669737.

7379669025 = 13 + 23 + ... + 4143.

The square root of 7379669025 is 85905.

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., 2656680849 + 4722988176 = 51543^2 + 68724^2 .

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

It is not a de Polignac number, because 7379669025 - 21 = 7379669023 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7379669023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 88911634 + ... + 88911716.

Almost surely, 27379669025 is an apocalyptic number.

7379669025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7379669025 is the 85905-th square number.

7379669025 is the 42953-rd centered octagonal number.

It is an amenable number.

7379669025 is a deficient number, since it is larger than the sum of its proper divisors (7084445794).

7379669025 is an equidigital number, since it uses as much as digits as its factorization.

7379669025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The cubic root of 7379669025 is about 1946.9088895901.

The spelling of 7379669025 in words is "seven billion, three hundred seventy-nine million, six hundred sixty-nine thousand, twenty-five".

Divisors: 1 3 5 9 15 23 25 27 45 69 75 81 83 115 135 207 225 249 345 405 415 529 575 621 675 747 1035 1245 1587 1725 1863 1909 2025 2075 2241 2645 3105 3735 4761 5175 5727 6225 6723 6889 7935 9315 9545 11205 13225 14283 15525 17181 18675 20667 23805 28635 33615 34445 39675 42849 43907 46575 47725 51543 56025 62001 71415 85905 103335 119025 131721 143175 154629 158447 168075 172225 186003 214245 219535 257715 310005 357075 395163 429525 475341 516675 558009 658605 773145 792235 930015 1071225 1097675 1185489 1288575 1426023 1550025 1975815 2376705 2790045 3293025 3556467 3644281 3865725 3961175 4278069 4650075 5927445 7130115 9879075 10932843 11883525 12834207 13950225 17782335 18221405 21390345 29637225 32798529 35650575 54664215 64171035 88911675 91107025 98395587 106951725 163992645 273321075 295186761 320855175 491977935 819963225 1475933805 2459889675 7379669025