Search a number
-
+
825281262016476 = 223192387374917989
BaseRepresentation
bin1011101110100101101100010…
…0011101100101011111011100
311000020002010012010012200222220
42323221123010131211133130
51331132402011034011401
612043120551113505340
7335555414006232006
oct27351330435453734
94006063163180886
10825281262016476
11219a618aa408791
1278689054a12250
13295658c5b93975
14107b1b7d187376
1565626d5e43336
hex2ee96c47657dc

825281262016476 has 72 divisors (see below), whose sum is σ = 2032393714742160. Its totient is φ = 260608354573824.

The previous prime is 825281262016469. The next prime is 825281262016499. The reversal of 825281262016476 is 674610262182528.

It is a super-2 number, since 2×8252812620164762 (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165349690 + ... + 170267678.

It is an arithmetic number, because the mean of its divisors is an integer number (28227690482530).

Almost surely, 2825281262016476 is an apocalyptic number.

It is an amenable number.

825281262016476 is an abundant number, since it is smaller than the sum of its proper divisors (1207112452725684).

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

825281262016476 is a wasteful number, since it uses less digits than its factorization.

825281262016476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4956771 (or 4956750 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 60.

The spelling of 825281262016476 in words is "eight hundred twenty-five trillion, two hundred eighty-one billion, two hundred sixty-two million, sixteen thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 361 722 1083 1444 2166 4332 38737 77474 116211 154948 232422 464844 736003 1472006 2208009 2944012 4416018 4917989 8832036 9835978 13984057 14753967 19671956 27968114 29507934 41952171 55936228 59015868 83904342 93441791 167808684 186883582 280325373 373767164 560650746 1121301492 1775394029 3550788058 5326182087 7101576116 10652364174 21304728348 190508139893 381016279786 571524419679 762032559572 1143048839358 2286097678716 3619654657967 7239309315934 10858963973901 14478618631868 21717927947802 43435855895604 68773438501373 137546877002746 206320315504119 275093754005492 412640631008238 825281262016476