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83763021101796 = 2232229266612
BaseRepresentation
bin10011000010111010011001…
…000111100011101011100100
3101222120122222221221101010100
4103002322121013203223210
541434333131400224141
6454052111202224100
723433451514536551
oct2302723107435344
9358518887841110
1083763021101796
1124764774795013
129489a02355030
133797a8544b51a
14169821a981a28
159a3d05ce90b6
hex4c2e991e3ae4

83763021101796 has 81 divisors (see below), whose sum is σ = 212694876229563. Its totient is φ = 27794907829440.

The previous prime is 83763021101743. The next prime is 83763021101803. The reversal of 83763021101796 is 69710112036738.

The square root of 83763021101796 is 9152214.

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

83763021101796 is a `hidden beast` number, since 83 + 76 + 302 + 1 + 101 + 7 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 63745629255396 + 20017391846400 = 7984086^2 + 4474080^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12575138706 + ... + 12575145366.

Almost surely, 283763021101796 is an apocalyptic number.

83763021101796 is the 9152214-th square number.

It is an amenable number.

83763021101796 is an abundant number, since it is smaller than the sum of its proper divisors (128931855127767).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83763021101796 is an frugal number, since it uses more digits than its factorization.

83763021101796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13790 (or 6895 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 83763021101796 in words is "eighty-three trillion, seven hundred sixty-three billion, twenty-one million, one hundred one thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 229 458 687 916 1374 2061 2748 4122 6661 8244 13322 19983 26644 39966 52441 59949 79932 104882 119898 157323 209764 239796 314646 471969 629292 943938 1525369 1887876 3050738 4576107 6101476 9152214 13728321 18304428 27456642 44368921 54913284 88737842 133106763 177475684 266213526 349309501 399320289 532427052 698619002 798640578 1047928503 1397238004 1597281156 2095857006 3143785509 4191714012 6287571018 10160482909 12575142036 20320965818 30481448727 40641931636 60962897454 91444346181 121925794908 182888692362 365777384724 2326750586161 4653501172322 6980251758483 9307002344644 13960503516966 20940755275449 27921007033932 41881510550898 83763021101796