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5033053344 = 253117960331
BaseRepresentation
bin1001010111111111…
…00100110010100000
3110222202120121020010
410223333210302200
540301430201334
62151231444520
7235503150624
oct45377446240
913882517203
105033053344
112153033520
12b85686740
13622962597
1435a627184
151e6cd50e9
hex12bfe4ca0

5033053344 has 96 divisors (see below), whose sum is σ = 14595517440. Its totient is φ = 1505836800.

The previous prime is 5033053313. The next prime is 5033053349. The reversal of 5033053344 is 4433503305.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (5033053349) by changing a digit.

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, 53259 + ... + 113589.

It is an arithmetic number, because the mean of its divisors is an integer number (152036640).

Almost surely, 25033053344 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 5033053344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7297758720).

5033053344 is an abundant number, since it is smaller than the sum of its proper divisors (9562464096).

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

5033053344 is a wasteful number, since it uses less digits than its factorization.

5033053344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60434 (or 60426 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 30.

The square root of 5033053344 is about 70944.0155615680. The cubic root of 5033053344 is about 1713.7357021877.

Adding to 5033053344 its reverse (4433503305), we get a palindrome (9466556649).

The spelling of 5033053344 in words is "five billion, thirty-three million, fifty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 79 88 96 132 158 176 237 264 316 352 474 528 632 869 948 1056 1264 1738 1896 2528 2607 3476 3792 5214 6952 7584 10428 13904 20856 27808 41712 60331 83424 120662 180993 241324 361986 482648 663641 723972 965296 1327282 1447944 1930592 1990923 2654564 2895888 3981846 4766149 5309128 5791776 7963692 9532298 10618256 14298447 15927384 19064596 21236512 28596894 31854768 38129192 52427639 57193788 63709536 76258384 104855278 114387576 152516768 157282917 209710556 228775152 314565834 419421112 457550304 629131668 838842224 1258263336 1677684448 2516526672 5033053344