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209956489344 = 2734737411907
BaseRepresentation
bin1100001110001001100…
…0011100100010000000
3202001221020011202020000
43003202120130202000
511414442330124334
6240241440120000
721111626466510
oct3034230344200
9661836152200
10209956489344
1181050a67a98
1234836006000
1316a4ccb3ba4
14a23a559840
1556dc5da299
hex30e261c880

209956489344 has 640 divisors, whose sum is σ = 751669269120. Its totient is φ = 56912855040.

The previous prime is 209956489313. The next prime is 209956489361. The reversal of 209956489344 is 443984659902.

209956489344 is a `hidden beast` number, since 20 + 9 + 9 + 564 + 8 + 9 + 3 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 110096839 + ... + 110098745.

It is an arithmetic number, because the mean of its divisors is an integer number (1174483233).

Almost surely, 2209956489344 is an apocalyptic number.

209956489344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209956489344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375834634560).

209956489344 is an abundant number, since it is smaller than the sum of its proper divisors (541712779776).

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

209956489344 is a wasteful number, since it uses less digits than its factorization.

209956489344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 209956489344 in words is "two hundred nine billion, nine hundred fifty-six million, four hundred eighty-nine thousand, three hundred forty-four".