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1002681693 = 33135215483
BaseRepresentation
bin111011110000111…
…011010101011101
32120212201111201000
4323300323111131
54023141303233
6243254540513
733563440146
oct7360732535
92525644630
101002681693
11474a95662
1223b967739
1312c9689a0
1497248acd
155d060d13
hex3bc3b55d

1002681693 has 32 divisors (see below), whose sum is σ = 1603082880. Its totient is φ = 615738240.

The previous prime is 1002681689. The next prime is 1002681721. The reversal of 1002681693 is 3961862001.

It is not a de Polignac number, because 1002681693 - 22 = 1002681689 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002681683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180130 + ... + 185612.

It is an arithmetic number, because the mean of its divisors is an integer number (50096340).

Almost surely, 21002681693 is an apocalyptic number.

1002681693 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1002681693 is a deficient number, since it is larger than the sum of its proper divisors (600401187).

1002681693 is a wasteful number, since it uses less digits than its factorization.

1002681693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6026 (or 6020 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1002681693 is about 31665.1495022525. The cubic root of 1002681693 is about 1000.8930998020.

It can be divided in two parts, 10026 and 81693, that added together give a palindrome (91719).

The spelling of 1002681693 in words is "one billion, two million, six hundred eighty-one thousand, six hundred ninety-three".

Divisors: 1 3 9 13 27 39 117 351 521 1563 4689 5483 6773 14067 16449 20319 49347 60957 71279 148041 182871 213837 641511 1924533 2856643 8569929 25709787 37136359 77129361 111409077 334227231 1002681693