Search a number
-
+
1002248287887 = 37115815374609
BaseRepresentation
bin11101001010110101010…
…01110011011010001111
310112210222101222021122210
432211122221303122033
5112410101030203022
62044232043041503
7132260434612140
oct16453251633217
93483871867583
101002248287887
11357062036960
121422aab10293
13736860061c2
143671ac93ac7
151b10dd20a0c
hexe95aa7368f

1002248287887 has 32 divisors (see below), whose sum is σ = 1666126056960. Its totient is φ = 520632529920.

The previous prime is 1002248287849. The next prime is 1002248287907. The reversal of 1002248287887 is 7887828422001.

It is a happy number.

It is not a de Polignac number, because 1002248287887 - 210 = 1002248286863 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002248287837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13396039 + ... + 13470647.

It is an arithmetic number, because the mean of its divisors is an integer number (52066439280).

Almost surely, 21002248287887 is an apocalyptic number.

1002248287887 is a deficient number, since it is larger than the sum of its proper divisors (663877769073).

1002248287887 is a wasteful number, since it uses less digits than its factorization.

1002248287887 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132783.

The product of its (nonzero) digits is 6422528, while the sum is 57.

The spelling of 1002248287887 in words is "one trillion, two billion, two hundred forty-eight million, two hundred eighty-seven thousand, eight hundred eighty-seven".

Divisors: 1 3 7 11 21 33 77 231 58153 74609 174459 223827 407071 522263 639683 820699 1221213 1566789 1919049 2462097 4477781 5744893 13433343 17234679 4338737177 13016211531 30371160239 47726108947 91113480717 143178326841 334082762629 1002248287887