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4204656064 = 26718151853
BaseRepresentation
bin1111101010011101…
…1111010111000000
3101212000210122210101
43322213133113000
532102342443224
61533120212144
7206123662330
oct37247372700
911760718711
104204656064
111868467374
1299416a054
1352014908b
142bc5c90c0
151991ee044
hexfa9df5c0

4204656064 has 56 divisors (see below), whose sum is σ = 9588426848. Its totient is φ = 1792005120.

The previous prime is 4204656037. The next prime is 4204656073. The reversal of 4204656064 is 4606564024.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

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, 55162 + ... + 107014.

It is an arithmetic number, because the mean of its divisors is an integer number (171221908).

Almost surely, 24204656064 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 4204656064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4794213424).

4204656064 is an abundant number, since it is smaller than the sum of its proper divisors (5383770784).

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

4204656064 is a wasteful number, since it uses less digits than its factorization.

4204656064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52053 (or 52043 counting only the distinct ones).

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

The square root of 4204656064 is about 64843.3193474856. The cubic root of 4204656064 is about 1614.0246343387.

The spelling of 4204656064 in words is "four billion, two hundred four million, six hundred fifty-six thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 181 224 362 448 724 1267 1448 2534 2896 5068 5792 10136 11584 20272 40544 51853 81088 103706 207412 362971 414824 725942 829648 1451884 1659296 2903768 3318592 5807536 9385393 11615072 18770786 23230144 37541572 65697751 75083144 131395502 150166288 262791004 300332576 525582008 600665152 1051164016 2102328032 4204656064