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201154510040050 = 25272174829640097
BaseRepresentation
bin101101101111001011101111…
…000111011010101111110010
3222101020011221122221202210101
4231233023233013122233302
5202331203414032240200
61551453034534223014
760240635164612600
oct5557135707325762
9871204848852711
10201154510040050
115910416a915216
121a6891124b4a6a
138831a342b7508
143795d047bc870
15183c75530826a
hexb6f2ef1dabf2

201154510040050 has 72 divisors (see below), whose sum is σ = 460834598870964. Its totient is φ = 64910362890240.

The previous prime is 201154510040047. The next prime is 201154510040051. The reversal of 201154510040050 is 50040015451102.

It can be written as a sum of positive squares in 6 ways, for example, as 47727220263121 + 153427289776929 = 6908489^2 + 12386577^2 .

It is not an unprimeable number, because it can be changed into a prime (201154510040051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2414778399 + ... + 2414861698.

Almost surely, 2201154510040050 is an apocalyptic number.

201154510040050 is an abundant number, since it is smaller than the sum of its proper divisors (259680088830914).

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

201154510040050 is a wasteful number, since it uses less digits than its factorization.

201154510040050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4829640140 (or 4829640128 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 28.

Adding to 201154510040050 its reverse (50040015451102), we get a palindrome (251194525491152).

It can be divided in two parts, 2011545 and 10040050, that added together give a triangular number (12051595 = T4909).

The spelling of 201154510040050 in words is "two hundred one trillion, one hundred fifty-four billion, five hundred ten million, forty thousand, fifty".

Divisors: 1 2 5 7 10 14 17 25 34 35 49 50 70 85 98 119 170 175 238 245 350 425 490 595 833 850 1190 1225 1666 2450 2975 4165 5950 8330 20825 41650 4829640097 9659280194 24148200485 33807480679 48296400970 67614961358 82103881649 120741002425 164207763298 169037403395 236652364753 241482004850 338074806790 410519408245 473304729506 574727171543 821038816490 845187016975 1149454343086 1183261823765 1690374033950 2052597041225 2366523647530 2873635857715 4023090200801 4105194082450 5747271715430 5916309118825 8046180401602 11832618237650 14368179288575 20115451004005 28736358577150 40230902008010 100577255020025 201154510040050