Search a number
-
+
9132884010 = 2325611663549
BaseRepresentation
bin10001000000101110…
…01100000000101010
3212120111010120121100
420200113030000222
5122201004242020
64110125222230
7442215142665
oct104027140052
925514116540
109132884010
113967302a28
12192a701976
13b271686a3
14628d266dc
15386bc9a90
hex2205cc02a

9132884010 has 48 divisors (see below), whose sum is σ = 24134783400. Its totient is φ = 2395509120.

The previous prime is 9132884003. The next prime is 9132884021. The reversal of 9132884010 is 104882319.

It can be written as a sum of positive squares in 4 ways, for example, as 4152900249 + 4979983761 = 64443^2 + 70569^2 .

It is a super-2 number, since 2×91328840102 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 826285 + ... + 837264.

Almost surely, 29132884010 is an apocalyptic number.

9132884010 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9132884010 is an abundant number, since it is smaller than the sum of its proper divisors (15001899390).

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

9132884010 is a wasteful number, since it uses less digits than its factorization.

9132884010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663623 (or 1663620 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 9132884010 is about 95566.1237573231. The cubic root of 9132884010 is about 2090.2712505554.

The spelling of 9132884010 in words is "nine billion, one hundred thirty-two million, eight hundred eighty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1830 2745 5490 1663549 3327098 4990647 8317745 9981294 14971941 16635490 24953235 29943882 49906470 74859705 101476489 149719410 202952978 304429467 507382445 608858934 913288401 1014764890 1522147335 1826576802 3044294670 4566442005 9132884010