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87212438900 = 22521818147969
BaseRepresentation
bin101000100111001000…
…1000011010101110100
322100002222120221011122
41101032101003111310
52412102341021100
6104022001123112
76205130333156
oct1211621032564
9270088527148
1087212438900
1133a9416a194
1214a9b329498
1382bb45ba42
1443149d4ad6
15240679c985
hex144e443574

87212438900 has 36 divisors (see below), whose sum is σ = 189265347180. Its totient is φ = 34882329600.

The previous prime is 87212438869. The next prime is 87212438903. The reversal of 87212438900 is 983421278.

It can be written as a sum of positive squares in 6 ways, for example, as 6576885604 + 80635553296 = 81098^2 + 283964^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87212438903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1794116 + ... + 1842084.

It is an arithmetic number, because the mean of its divisors is an integer number (5257370755).

Almost surely, 287212438900 is an apocalyptic number.

It is an amenable number.

87212438900 is an abundant number, since it is smaller than the sum of its proper divisors (102052908280).

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

87212438900 is a wasteful number, since it uses less digits than its factorization.

87212438900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66164 (or 66157 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 87212438900 in words is "eighty-seven billion, two hundred twelve million, four hundred thirty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 18181 36362 47969 72724 90905 95938 181810 191876 239845 363620 454525 479690 909050 959380 1199225 1818100 2398450 4796900 872124389 1744248778 3488497556 4360621945 8721243890 17442487780 21803109725 43606219450 87212438900