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998450600625 = 345444412
BaseRepresentation
bin11101000011110000100…
…10110001101010110001
310112110011201221210010000
432201320102301222301
5112324311323210000
62042403141300213
7132064352034462
oct16417022615261
93473151853100
10998450600625
11355493375245
1214160b104669
13731cc29b68a
143647a764d69
151ae8a710000
hexe8784b1ab1

998450600625 has 75 divisors (see below), whose sum is σ = 1864213950423. Its totient is φ = 532387080000.

The previous prime is 998450600527. The next prime is 998450600629. The reversal of 998450600625 is 526006054899.

It is a happy number.

The square root of 998450600625 is 999225.

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

998450600625 is a `hidden beast` number, since 9 + 9 + 8 + 4 + 5 + 0 + 6 + 0 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 856544697009 + 141905903616 = 925497^2 + 376704^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 998450600625 - 233 = 989860666033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (998450600629) 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 74 ways as a sum of consecutive naturals, for example, 224823405 + ... + 224827845.

Almost surely, 2998450600625 is an apocalyptic number.

998450600625 is the 999225-th square number.

998450600625 is the 499613-rd centered octagonal number.

It is an amenable number.

998450600625 is a deficient number, since it is larger than the sum of its proper divisors (865763349798).

998450600625 is an frugal number, since it uses more digits than its factorization.

998450600625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8914 (or 4449 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 998450600625 in words is "nine hundred ninety-eight billion, four hundred fifty million, six hundred thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 375 405 625 675 1125 1875 2025 3375 4441 5625 10125 13323 16875 22205 39969 50625 66615 111025 119907 199845 333075 359721 555125 599535 999225 1665375 1798605 2775625 2997675 4996125 8326875 8993025 14988375 19722481 24980625 44965125 59167443 74941875 98612405 177502329 224825625 295837215 493062025 532506987 887511645 1479186075 1597520961 2465310125 2662534935 4437558225 7395930375 7987604805 12326550625 13312674675 22187791125 36979651875 39938024025 66563373375 110938955625 199690120125 332816866875 998450600625