Search a number
-
+
10535005506536 = 237956291967239
BaseRepresentation
bin1001100101001101111101…
…0000101100101111101000
31101022010200122110221112222
42121103133100230233220
52340101142402202121
634223414213453212
72135062154203220
oct231233720545750
941263618427488
1010535005506536
1133a1963a63705
121221908041208
135b55a66a7474
14285c7b493080
1513408dd430ab
hex994df42cbe8

10535005506536 has 32 divisors (see below), whose sum is σ = 22575259344000. Its totient is φ = 4514952851136.

The previous prime is 10535005506533. The next prime is 10535005506569. The reversal of 10535005506536 is 63560550053501.

It is a super-2 number, since 2×105350055065362 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10535005506533) 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 7 ways as a sum of consecutive naturals, for example, 4371605 + ... + 6338843.

It is an arithmetic number, because the mean of its divisors is an integer number (705476854500).

Almost surely, 210535005506536 is an apocalyptic number.

It is an amenable number.

10535005506536 is an abundant number, since it is smaller than the sum of its proper divisors (12040253837464).

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

10535005506536 is a wasteful number, since it uses less digits than its factorization.

10535005506536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062881 (or 2062877 counting only the distinct ones).

The product of its (nonzero) digits is 1012500, while the sum is 44.

The spelling of 10535005506536 in words is "ten trillion, five hundred thirty-five billion, five million, five hundred six thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 56 95629 191258 382516 669403 765032 1338806 1967239 2677612 3934478 5355224 7868956 13770673 15737912 27541346 55082692 110165384 188125098331 376250196662 752500393324 1316875688317 1505000786648 2633751376634 5267502753268 10535005506536