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12825040818768 = 243754735403253
BaseRepresentation
bin1011101010100001000000…
…0000001001001001010000
31200102001200010221020102020
42322220100000021021100
53140111140422200033
643135424210051440
72462402316164043
oct272502000111120
950361603836366
1012825040818768
1140a5084215342
1215316b4279b80
1372051c494b89
14324a418b4c5a
1517391e7996b3
hexbaa10009250

12825040818768 has 40 divisors (see below), whose sum is σ = 33135746387808. Its totient is φ = 4274447033472.

The previous prime is 12825040818767. The next prime is 12825040818869. The reversal of 12825040818768 is 86781804052821.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12825040818767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17339371 + ... + 18063882.

Almost surely, 212825040818768 is an apocalyptic number.

It is an amenable number.

12825040818768 is an abundant number, since it is smaller than the sum of its proper divisors (20310705569040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12825040818768 is a wasteful number, since it uses less digits than its factorization.

12825040818768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35410811 (or 35410805 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 60.

The spelling of 12825040818768 in words is "twelve trillion, eight hundred twenty-five billion, forty million, eight hundred eighteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 7547 15094 22641 30188 45282 60376 90564 120752 181128 362256 35403253 70806506 106209759 141613012 212419518 283226024 424839036 566452048 849678072 1699356144 267188350391 534376700782 801565051173 1068753401564 1603130102346 2137506803128 3206260204692 4275013606256 6412520409384 12825040818768