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29194848225 = 345237972
BaseRepresentation
bin11011001100001001…
…100000011111100001
32210100122020221210000
4123030021200133201
5434242340120400
621224550530213
72052322054404
oct331411403741
983318227700
1029194848225
1111421804644
1257a9366969
1329a362a32a
1415ad53bd3b
15b5d0d5600
hex6cc2607e1

29194848225 has 45 divisors (see below), whose sum is σ = 54093197257. Its totient is φ = 15566484960.

The previous prime is 29194848191. The next prime is 29194848227. The reversal of 29194848225 is 52284849192.

The square root of 29194848225 is 170865.

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

29194848225 is a `hidden beast` number, since 291 + 94 + 8 + 48 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15387658209 + 13807190016 = 124047^2 + 117504^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 29194848225 - 221 = 29192751073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29194848227) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7687027 + ... + 7690823.

Almost surely, 229194848225 is an apocalyptic number.

29194848225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29194848225 is the 170865-th square number.

29194848225 is the 85433-rd centered octagonal number.

It is an amenable number.

29194848225 is a deficient number, since it is larger than the sum of its proper divisors (24898349032).

29194848225 is an frugal number, since it uses more digits than its factorization.

29194848225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7616 (or 3805 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 29194848225 in words is "twenty-nine billion, one hundred ninety-four million, eight hundred forty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 3797 11391 18985 34173 56955 94925 102519 170865 284775 307557 512595 854325 1537785 2562975 7688925 14417209 43251627 72086045 129754881 216258135 360430225 389264643 648774405 1081290675 1167793929 1946323215 3243872025 5838969645 9731616075 29194848225