Search a number
-
+
8972132086450 = 2521329475975177
BaseRepresentation
bin1000001010001111110010…
…1111101111001010110010
31011202201122022102010202001
42002203330233233022302
52133444411303231300
631025423544244214
71614133540262011
oct202437457571262
934681568363661
108972132086450
11294a072729215
12100aa38a7066a
135010b743b310
142303798baa78
151085bbd5716a
hex828fcbef2b2

8972132086450 has 48 divisors (see below), whose sum is σ = 18591590452680. Its totient is φ = 3198553182720.

The previous prime is 8972132086447. The next prime is 8972132086459. The reversal of 8972132086450 is 546802312798.

It can be written as a sum of positive squares in 12 ways, for example, as 56300374729 + 8915831711721 = 237277^2 + 2985939^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8972132086391 and 8972132086400.

It is not an unprimeable number, because it can be changed into a prime (8972132086459) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237968739 + ... + 238006438.

It is a 1-persistent number, because it is pandigital, but 2⋅8972132086450 = 17944264172900 is not.

Almost surely, 28972132086450 is an apocalyptic number.

8972132086450 is an abundant number, since it is smaller than the sum of its proper divisors (9619458366230).

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

8972132086450 is a wasteful number, since it uses less digits than its factorization.

8972132086450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475975231 (or 475975226 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 8972132086450 in words is "eight trillion, nine hundred seventy-two billion, one hundred thirty-two million, eighty-six thousand, four hundred fifty".

Divisors: 1 2 5 10 13 25 26 29 50 58 65 130 145 290 325 377 650 725 754 1450 1885 3770 9425 18850 475975177 951950354 2379875885 4759751770 6187677301 11899379425 12375354602 13803280133 23798758850 27606560266 30938386505 61876773010 69016400665 138032801330 154691932525 179442641729 309383865050 345082003325 358885283458 690164006650 897213208645 1794426417290 4486066043225 8972132086450