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553053321441 = 32411498789489
BaseRepresentation
bin10000000110001001000…
…10111111100011100001
31221212112020101200110200
420003010202333203201
533030123122241231
61102022540015413
754646114445025
oct10030442774341
91855466350420
10553053321441
111a36042000a5
128b228531569
13401ca65117a
141caa727a385
15e5bd5a0be6
hex80c48bf8e1

553053321441 has 12 divisors (see below), whose sum is σ = 818339061540. Its totient is φ = 359709477120.

The previous prime is 553053321433. The next prime is 553053321449. The reversal of 553053321441 is 144123350355.

553053321441 is a `hidden beast` number, since 5 + 5 + 305 + 332 + 14 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (553053321433) and next prime (553053321449).

It can be written as a sum of positive squares in 2 ways, for example, as 34631721216 + 518421600225 = 186096^2 + 720015^2 .

It is not a de Polignac number, because 553053321441 - 23 = 553053321433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 553053321396 and 553053321405.

It is not an unprimeable number, because it can be changed into a prime (553053321449) 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 11 ways as a sum of consecutive naturals, for example, 749394376 + ... + 749395113.

It is an arithmetic number, because the mean of its divisors is an integer number (68194921795).

Almost surely, 2553053321441 is an apocalyptic number.

It is an amenable number.

553053321441 is a deficient number, since it is larger than the sum of its proper divisors (265285740099).

553053321441 is a wasteful number, since it uses less digits than its factorization.

553053321441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498789536 (or 1498789533 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 553053321441 its reverse (144123350355), we get a palindrome (697176671796).

The spelling of 553053321441 in words is "five hundred fifty-three billion, fifty-three million, three hundred twenty-one thousand, four hundred forty-one".

Divisors: 1 3 9 41 123 369 1498789489 4496368467 13489105401 61450369049 184351107147 553053321441