Search a number
-
+
1083387457881 = 3417268032
BaseRepresentation
bin11111100001111101110…
…11001011000101011001
310211120102010122012010000
433300332323023011121
5120222234142123011
62145411253043213
7141162231310101
oct17607673130531
93746363565100
101083387457881
11388509a81243
12155b74326509
137b2171547b1
143a617046201
151d2ac311356
hexfc3eecb159

1083387457881 has 45 divisors (see below), whose sum is σ = 1719445960111. Its totient is φ = 679672600128.

The previous prime is 1083387457853. The next prime is 1083387457883. The reversal of 1083387457881 is 1887547833801.

The square root of 1083387457881 is 1040859.

It is a perfect power (a square), and thus also a powerful number.

1083387457881 is a `hidden beast` number, since 108 + 3 + 387 + 4 + 5 + 78 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 843467744025 + 239919713856 = 918405^2 + 489816^2 .

It is not a de Polignac number, because 1083387457881 - 211 = 1083387455833 is a prime.

It is a super-2 number, since 2×10833874578812 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1083387457883) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 159248026 + ... + 159254828.

Almost surely, 21083387457881 is an apocalyptic number.

1083387457881 is the 1040859-th square number.

1083387457881 is the 520430-th centered octagonal number.

It is an amenable number.

1083387457881 is a deficient number, since it is larger than the sum of its proper divisors (636058502230).

1083387457881 is an frugal number, since it uses more digits than its factorization.

1083387457881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13652 (or 6823 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 1083387457881 in words is "one trillion, eighty-three billion, three hundred eighty-seven million, four hundred fifty-seven thousand, eight hundred eighty-one".

Divisors: 1 3 9 17 27 51 81 153 289 459 867 1377 2601 6803 7803 20409 23409 61227 115651 183681 346953 551043 1040859 1966067 3122577 5898201 9367731 17694603 46280809 53083809 138842427 159251427 416527281 786773753 1249581843 2360321259 3748745529 7080963777 13375153801 21242891331 40125461403 63728673993 120376384209 361129152627 1083387457881