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252800796521 = 7213396861533
BaseRepresentation
bin1110101101110000011…
…0100000011101101001
3220011112010022001122202
43223130012200131221
513120214000442041
6312045102225545
724156432213200
oct3533406403551
9804463261582
10252800796521
1198237506119
1240bb25852b5
131aaba407840
14c3427a2237
156898b5ea9b
hex3adc1a0769

252800796521 has 12 divisors (see below), whose sum is σ = 316695504132. Its totient is φ = 200018212128.

The previous prime is 252800796491. The next prime is 252800796541. The reversal of 252800796521 is 125697008252.

It is a happy number.

252800796521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 111115555600 + 141685240921 = 333340^2 + 376411^2 .

It is a de Polignac number, because none of the positive numbers 2k-252800796521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (252800796541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198430130 + ... + 198431403.

It is an arithmetic number, because the mean of its divisors is an integer number (26391292011).

Almost surely, 2252800796521 is an apocalyptic number.

It is an amenable number.

252800796521 is a deficient number, since it is larger than the sum of its proper divisors (63894707611).

252800796521 is a wasteful number, since it uses less digits than its factorization.

252800796521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396861560 (or 396861553 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 47.

The spelling of 252800796521 in words is "two hundred fifty-two billion, eight hundred million, seven hundred ninety-six thousand, five hundred twenty-one".

Divisors: 1 7 13 49 91 637 396861533 2778030731 5159199929 19446215117 36114399503 252800796521