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820898663 = 134771127149
BaseRepresentation
bin110000111011011…
…110101101100111
32010012122222021012
4300323132231213
53140122224123
6213242412435
726225344364
oct6073365547
92105588235
10820898663
11391415352
121aab0111b
131010bc370
147b04946b
154c104378
hex30edeb67

820898663 has 32 divisors (see below), whose sum is σ = 928972800. Its totient is φ = 720558720.

The previous prime is 820898653. The next prime is 820898699. The reversal of 820898663 is 366898028.

It is a cyclic number.

It is not a de Polignac number, because 820898663 - 24 = 820898647 is a prime.

It is a super-2 number, since 2×8208986632 = 1347749229830375138, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820898623) 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 31 ways as a sum of consecutive naturals, for example, 5509313 + ... + 5509461.

It is an arithmetic number, because the mean of its divisors is an integer number (29030400).

Almost surely, 2820898663 is an apocalyptic number.

820898663 is a deficient number, since it is larger than the sum of its proper divisors (108074137).

820898663 is a wasteful number, since it uses less digits than its factorization.

820898663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407.

The product of its (nonzero) digits is 995328, while the sum is 50.

The square root of 820898663 is about 28651.3291663755. The cubic root of 820898663 is about 936.3319641992.

The spelling of 820898663 in words is "eight hundred twenty million, eight hundred ninety-eight thousand, six hundred sixty-three".

Divisors: 1 13 47 71 127 149 611 923 1651 1937 3337 5969 7003 9017 10579 18923 43381 77597 91039 117221 137527 245999 423799 497213 889381 1343533 5509387 6463769 11561953 17465929 63146051 820898663