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209952940932 = 223271753273239
BaseRepresentation
bin1100001110001000101…
…0111010001110000100
3202001220222111110201100
43003202022322032010
511414440423102212
6240241232100100
721111554360340
oct3034212721604
9661828443640
10209952940932
1181049a64019
1234834994630
1316a4c340a37
14a239cb4620
1556dc138bdc
hex30e22ba384

209952940932 has 432 divisors, whose sum is σ = 666297515520. Its totient is φ = 54405292032.

The previous prime is 209952940871. The next prime is 209952940943. The reversal of 209952940932 is 239049259902.

It is a happy number.

209952940932 is a `hidden beast` number, since 20 + 9 + 9 + 529 + 4 + 0 + 93 + 2 = 666.

209952940932 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 878464069 + ... + 878464307.

It is an arithmetic number, because the mean of its divisors is an integer number (1542355360).

Almost surely, 2209952940932 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209952940932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333148757760).

209952940932 is an abundant number, since it is smaller than the sum of its proper divisors (456344574588).

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

209952940932 is a wasteful number, since it uses less digits than its factorization.

209952940932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 209952940932 in words is "two hundred nine billion, nine hundred fifty-two million, nine hundred forty thousand, nine hundred thirty-two".