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1985793125 = 54293312
BaseRepresentation
bin111011001011100…
…1100110001100101
312010101121202001112
41312113030301211
513031330340000
6525014234405
7100131651221
oct16627146145
95111552045
101985793125
11929a23848
12475055a05
13258541a24
1414ba3b781
15b9508235
hex765ccc65

1985793125 has 30 divisors (see below), whose sum is σ = 2574792990. Its totient is φ = 1529220000.

The previous prime is 1985793119. The next prime is 1985793163. The reversal of 1985793125 is 5213975891.

It can be written as a sum of positive squares in 5 ways, for example, as 754765729 + 1231027396 = 27473^2 + 35086^2 .

It is not a de Polignac number, because 1985793125 - 24 = 1985793109 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5999210 + ... + 5999540.

It is an arithmetic number, because the mean of its divisors is an integer number (85826433).

Almost surely, 21985793125 is an apocalyptic number.

It is an amenable number.

1985793125 is a deficient number, since it is larger than the sum of its proper divisors (588999865).

1985793125 is an frugal number, since it uses more digits than its factorization.

1985793125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 365 counting only the distinct ones).

The product of its digits is 680400, while the sum is 50.

The square root of 1985793125 is about 44562.2387790380. The cubic root of 1985793125 is about 1256.9307012822.

The spelling of 1985793125 in words is "one billion, nine hundred eighty-five million, seven hundred ninety-three thousand, one hundred twenty-five".

Divisors: 1 5 25 29 125 145 331 625 725 1655 3625 8275 9599 18125 41375 47995 109561 206875 239975 547805 1199875 2739025 3177269 5999375 13695125 15886345 68475625 79431725 397158625 1985793125