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4744300864 = 266110911149
BaseRepresentation
bin1000110101100100…
…00100100101000000
3110020122020110021211
410122302010211000
534204020111424
62102434455504
7225365614642
oct43262044500
913218213254
104744300864
112015041506
12b04a34594
135a7ba2124
14330140892
151cb798b94
hex11ac84940

4744300864 has 56 divisors (see below), whose sum is σ = 9657461000. Its totient is φ = 2311649280.

The previous prime is 4744300843. The next prime is 4744300901. The reversal of 4744300864 is 4680034474.

It can be written as a sum of positive squares in 4 ways, for example, as 39438400 + 4704862464 = 6280^2 + 68592^2 .

It is a super-2 number, since 2×47443008642 = 45016781376302292992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 419962 + ... + 431110.

Almost surely, 24744300864 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 4744300864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4828730500).

4744300864 is an abundant number, since it is smaller than the sum of its proper divisors (4913160136).

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

4744300864 is a wasteful number, since it uses less digits than its factorization.

4744300864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11331 (or 11321 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 40.

The square root of 4744300864 is about 68878.8854729808. The cubic root of 4744300864 is about 1680.3151411832.

The spelling of 4744300864 in words is "four billion, seven hundred forty-four million, three hundred thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 61 64 109 122 218 244 436 488 872 976 1744 1952 3488 3904 6649 6976 11149 13298 22298 26596 44596 53192 89192 106384 178384 212768 356768 425536 680089 713536 1215241 1360178 2430482 2720356 4860964 5440712 9721928 10881424 19443856 21762848 38887712 43525696 74129701 77775424 148259402 296518804 593037608 1186075216 2372150432 4744300864