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332624240316553 is a prime number
BaseRepresentation
bin100101110100001010001110…
…1101100000001000010001001
31121121201120022012202220211111
41023220110131230001002021
5322044203421010112203
63135233244432530321
7130030210516624243
oct11350243554010211
91547646265686744
10332624240316553
1196a9116a187519
12313809810b09a1
131137a43ca63bb3
145c1d15602b093
15286c4be5e426d
hex12e851db01089

332624240316553 has 2 divisors, whose sum is σ = 332624240316554. Its totient is φ = 332624240316552.

The previous prime is 332624240316499. The next prime is 332624240316607. The reversal of 332624240316553 is 355613042426233.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (332624240316499) and next prime (332624240316607).

It can be written as a sum of positive squares in only one way, i.e., 329903759542009 + 2720480774544 = 18163253^2 + 1649388^2 .

It is a cyclic number.

It is not a de Polignac number, because 332624240316553 - 229 = 332623703445641 is a prime.

It is a super-2 number, since 2×3326242403165532 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332624240316497 and 332624240316506.

It is not a weakly prime, because it can be changed into another prime (332624240356553) 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 as a sum of consecutive naturals, namely, 166312120158276 + 166312120158277.

It is an arithmetic number, because the mean of its divisors is an integer number (166312120158277).

Almost surely, 2332624240316553 is an apocalyptic number.

It is an amenable number.

332624240316553 is a deficient number, since it is larger than the sum of its proper divisors (1).

332624240316553 is an equidigital number, since it uses as much as digits as its factorization.

332624240316553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9331200, while the sum is 49.

The spelling of 332624240316553 in words is "three hundred thirty-two trillion, six hundred twenty-four billion, two hundred forty million, three hundred sixteen thousand, five hundred fifty-three".