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204244310656 = 2729109350341
BaseRepresentation
bin1011111000110111101…
…0001101101010000000
3201112012010201000011101
42332031322031222000
511321243020420111
6233454544224144
720520235665361
oct2761572155200
9645163630141
10204244310656
117968a652661
123370100b054
131634c7407b9
149c57a6db68
1554a5da7bc1
hex2f8de8da80

204244310656 has 64 divisors (see below), whose sum is σ = 421317232200. Its totient is φ = 98508533760.

The previous prime is 204244310651. The next prime is 204244310687. The reversal of 204244310656 is 656013442402.

204244310656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 204195534400 + 48776256 = 451880^2 + 6984^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (204244310651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4032046 + ... + 4082386.

Almost surely, 2204244310656 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 204244310656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210658616100).

204244310656 is an abundant number, since it is smaller than the sum of its proper divisors (217072921544).

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

204244310656 is a wasteful number, since it uses less digits than its factorization.

204244310656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51477 (or 51465 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 204244310656 in words is "two hundred four billion, two hundred forty-four million, three hundred ten thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1093 1856 2186 3712 4372 8744 17488 31697 34976 50341 63394 69952 100682 126788 139904 201364 253576 402728 507152 805456 1014304 1459889 1610912 2028608 2919778 3221824 4057216 5839556 6443648 11679112 23358224 46716448 55022713 93432896 110045426 186865792 220090852 440181704 880363408 1595658677 1760726816 3191317354 3521453632 6382634708 7042907264 12765269416 25530538832 51061077664 102122155328 204244310656