Search a number
-
+
1086947683120 = 245131045142003
BaseRepresentation
bin11111101000100110010…
…00010110101100110000
310211220121020211101000001
433310103020112230300
5120302032101324440
62151200433035344
7141346401602365
oct17642310265460
93756536741001
101086947683120
11389a766a3152
121567a86b5b54
137b663919750
143a873c0046c
151d419b67b9a
hexfd13216b30

1086947683120 has 40 divisors (see below), whose sum is σ = 2721549778416. Its totient is φ = 401334528768.

The previous prime is 1086947683109. The next prime is 1086947683121. The reversal of 1086947683120 is 213867496801.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (1086947683121) 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 7 ways as a sum of consecutive naturals, for example, 522569962 + ... + 522572041.

Almost surely, 21086947683120 is an apocalyptic number.

1086947683120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1086947683120 is an abundant number, since it is smaller than the sum of its proper divisors (1634602095296).

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

1086947683120 is a wasteful number, since it uses less digits than its factorization.

1086947683120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045142029 (or 1045142023 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 55.

The spelling of 1086947683120 in words is "one trillion, eighty-six billion, nine hundred forty-seven million, six hundred eighty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1045142003 2090284006 4180568012 5225710015 8361136024 10451420030 13586846039 16722272048 20902840060 27173692078 41805680120 54347384156 67934230195 83611360240 108694768312 135868460390 217389536624 271736920780 543473841560 1086947683120