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83488345125 = 3531727674733
BaseRepresentation
bin100110111000001001…
…0110000110000100101
321222111110001100220120
41031300102300300211
52331441004021000
6102204244552153
76013630140003
oct1156022606045
9258443040816
1083488345125
1132452aa3439
12142200b2659
137b46a50563
144080181a73
1522898776a0
hex13704b0c25

83488345125 has 64 divisors (see below), whose sum is σ = 147180893184. Its totient is φ = 41883878400.

The previous prime is 83488345121. The next prime is 83488345147. The reversal of 83488345125 is 52154388438.

It is not a de Polignac number, because 83488345125 - 22 = 83488345121 is a prime.

It is a super-2 number, since 2×834883451252 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83488345121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17637259 + ... + 17641991.

It is an arithmetic number, because the mean of its divisors is an integer number (2299701456).

Almost surely, 283488345125 is an apocalyptic number.

83488345125 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

83488345125 is a deficient number, since it is larger than the sum of its proper divisors (63692548059).

83488345125 is a wasteful number, since it uses less digits than its factorization.

83488345125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7535 (or 7525 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 51.

The spelling of 83488345125 in words is "eighty-three billion, four hundred eighty-eight million, three hundred forty-five thousand, one hundred twenty-five".

Divisors: 1 3 5 15 17 25 51 75 85 125 255 375 425 1275 2125 2767 4733 6375 8301 13835 14199 23665 41505 47039 69175 70995 80461 118325 141117 207525 235195 241383 345875 354975 402305 591625 705585 1037625 1175975 1206915 1774875 2011525 3527925 5879875 6034575 10057625 13096211 17639625 30172875 39288633 65481055 196443165 222635587 327405275 667906761 982215825 1113177935 1637026375 3339533805 4911079125 5565889675 16697669025 27829448375 83488345125