Search a number
-
+
988935255970281 = 3434941492
BaseRepresentation
bin1110000011011011100110111…
…0101000110101000111101001
311210200112021202100012010110000
43200312321232220311013221
52014110203401012022111
613423142330150413213
7415206133356603054
oct34066715650650751
94720467670163400
10988935255970281
112671180a5562954
1292aba340361209
13335a726b39a879
141362ca167bba9b
15794e71eb9ac56
hex3836e6ea351e9

988935255970281 has 15 divisors (see below), whose sum is σ = 1477298768130471. Its totient is φ = 659289981962808.

The previous prime is 988935255970267. The next prime is 988935255970309. The reversal of 988935255970281 is 182079552539889.

The square root of 988935255970281 is 31447341.

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

988935255970281 is a `hidden beast` number, since 9 + 8 + 8 + 9 + 3 + 52 + 559 + 7 + 0 + 2 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 560631535720281 + 428303720250000 = 23677659^2 + 20695500^2 .

It is not a de Polignac number, because 988935255970281 - 231 = 988933108486633 is a prime.

It is a super-2 number, since 2×9889352559702812 (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 988935255970281.

It is not an unprimeable number, because it can be changed into a prime (988935255970241) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 281278995 + ... + 284773143.

Almost surely, 2988935255970281 is an apocalyptic number.

988935255970281 is the 31447341-st square number.

988935255970281 is the 15723671-st centered octagonal number.

It is an amenable number.

988935255970281 is a deficient number, since it is larger than the sum of its proper divisors (488363512160190).

988935255970281 is an frugal number, since it uses more digits than its factorization.

988935255970281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6988310 (or 3494152 counting only the distinct ones).

The product of its (nonzero) digits is 3919104000, while the sum is 81.

988935255970281 divided by its sum of digits (81) gives a square (12209077234201 = 34941492).

The spelling of 988935255970281 in words is "nine hundred eighty-eight trillion, nine hundred thirty-five billion, two hundred fifty-five million, nine hundred seventy thousand, two hundred eighty-one".

Divisors: 1 3 9 27 81 3494149 10482447 31447341 94342023 283026069 12209077234201 36627231702603 109881695107809 329645085323427 988935255970281