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104025200643 = 3371372758237
BaseRepresentation
bin110000011100001100…
…0101001100000000011
3100221111200202201111000
41200320120221200003
53201020422410033
6115442153023043
710341561421230
oct1407030514003
9327450681430
10104025200643
1140131571a01
12181b19b4a83
139a6a715780
14506b894787
152a8c7dba13
hex1838629803

104025200643 has 64 divisors (see below), whose sum is σ = 189939742720. Its totient is φ = 54794019456.

The previous prime is 104025200639. The next prime is 104025200647. The reversal of 104025200643 is 346002520401.

104025200643 is a `hidden beast` number, since 10 + 4 + 0 + 2 + 5 + 2 + 0 + 0 + 643 = 666.

It is an interprime number because it is at equal distance from previous prime (104025200639) and next prime (104025200647).

It is not a de Polignac number, because 104025200643 - 22 = 104025200639 is a prime.

It is a super-2 number, since 2×1040252006432 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (104025200647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1757121 + ... + 1815357.

It is an arithmetic number, because the mean of its divisors is an integer number (2967808480).

Almost surely, 2104025200643 is an apocalyptic number.

104025200643 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

104025200643 is a deficient number, since it is larger than the sum of its proper divisors (85914542077).

104025200643 is a wasteful number, since it uses less digits than its factorization.

104025200643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58993 (or 58987 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 104025200643 in words is "one hundred four billion, twenty-five million, two hundred thousand, six hundred forty-three".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 189 273 351 727 819 2181 2457 5089 6543 9451 15267 19629 28353 45801 58237 66157 85059 137403 174711 198471 255177 407659 524133 595413 757081 1222977 1572399 1786239 2271243 3668931 5299567 6813729 11006793 15898701 20441187 42338299 47696103 127014897 143088309 296368093 381044691 550397887 889104279 1143134073 1651193661 2667312837 3852785209 4953580983 8001938511 11558355627 14860742949 34675066881 104025200643