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5064023120 = 2451315973049
BaseRepresentation
bin1001011011101011…
…01101110001010000
3111001220212000202212
410231311231301100
540332342214440
62154255331252
7236330325542
oct45565556120
914056760685
105064023120
112169566582
12b93b20b28
136291b6ab0
143607a9692
151e98a1465
hex12dd6dc50

5064023120 has 80 divisors (see below), whose sum is σ = 12691635600. Its totient is φ = 1868009472.

The previous prime is 5064023101. The next prime is 5064023147. The reversal of 5064023120 is 213204605.

It can be written as a sum of positive squares in 8 ways, for example, as 1865894416 + 3198128704 = 43196^2 + 56552^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1659356 + ... + 1662404.

It is an arithmetic number, because the mean of its divisors is an integer number (158645445).

Almost surely, 25064023120 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 5064023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6345817800).

5064023120 is an abundant number, since it is smaller than the sum of its proper divisors (7627612480).

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

5064023120 is a wasteful number, since it uses less digits than its factorization.

5064023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4672 (or 4666 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 5064023120 is about 71161.9499451779. The cubic root of 5064023120 is about 1717.2435477639.

Adding to 5064023120 its reverse (213204605), we get a palindrome (5277227725).

The spelling of 5064023120 in words is "five billion, sixty-four million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1597 3049 3194 6098 6388 7985 12196 12776 15245 15970 20761 24392 25552 30490 31940 39637 41522 48784 60980 63880 79274 83044 103805 121960 127760 158548 166088 198185 207610 243920 317096 332176 396370 415220 634192 792740 830440 1585480 1660880 3170960 4869253 9738506 19477012 24346265 38954024 48692530 63300289 77908048 97385060 126600578 194770120 253201156 316501445 389540240 506402312 633002890 1012804624 1266005780 2532011560 5064023120