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18832434075 = 32527131496173
BaseRepresentation
bin10001100010100000…
…000010001110011011
31210121110112202220100
4101202200002032123
5302032100342300
612352420230443
71234454022420
oct214240021633
953543482810
1018832434075
117a94466504
123796b3b423
131a1182b320
14ca91d9d47
157534da700
hex46280239b

18832434075 has 144 divisors (see below), whose sum is σ = 41800449600. Its totient is φ = 7892259840.

The previous prime is 18832434059. The next prime is 18832434139. The reversal of 18832434075 is 57043423881.

18832434075 is a `hidden beast` number, since 188 + 32 + 434 + 0 + 7 + 5 = 666.

It is not a de Polignac number, because 18832434075 - 24 = 18832434059 is a prime.

It is a super-2 number, since 2×188324340752 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 18832434075.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 3047689 + ... + 3053861.

It is an arithmetic number, because the mean of its divisors is an integer number (290280900).

Almost surely, 218832434075 is an apocalyptic number.

18832434075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

18832434075 is an abundant number, since it is smaller than the sum of its proper divisors (22968015525).

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

18832434075 is a wasteful number, since it uses less digits than its factorization.

18832434075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6358 (or 6350 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 18832434075 in words is "eighteen billion, eight hundred thirty-two million, four hundred thirty-four thousand, seventy-five".

Divisors: 1 3 5 7 9 13 15 21 25 35 39 45 63 65 75 91 105 117 149 175 195 225 273 315 325 447 455 525 585 745 819 975 1043 1341 1365 1575 1937 2235 2275 2925 3129 3725 4095 5215 5811 6173 6705 6825 9387 9685 11175 13559 15645 17433 18519 20475 26075 29055 30865 33525 40677 43211 46935 48425 55557 67795 78225 80249 87165 92595 122031 129633 145275 154325 203385 216055 234675 240747 277785 338975 388899 401245 435825 462975 561743 610155 648165 722241 919777 1016925 1080275 1203735 1388925 1685229 1944495 2006225 2759331 2808715 3050775 3240825 3611205 4598885 5055687 6018675 6438439 8277993 8426145 9722475 11957101 13796655 14043575 18056025 19315317 22994425 25278435 32192195 35871303 41389965 42130725 57945951 59785505 68983275 83699707 96576585 107613909 126392175 160960975 179356515 206949825 251099121 289729755 298927525 418498535 482882925 538069545 753297363 896782575 1255495605 1448648775 2092492675 2690347725 3766486815 6277478025 18832434075