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5032440064 = 2829838167
BaseRepresentation
bin1001010111111010…
…01111000100000000
3110222201102102222001
410223331033010000
540301301040224
62151210353344
7235465014631
oct45375170400
913881372861
105032440064
112152754783
12b8542b854
136227a93b2
1435a507888
151e6c13544
hex12bf4f100

5032440064 has 72 divisors (see below), whose sum is σ = 10518096960. Its totient is φ = 2399889408.

The previous prime is 5032440031. The next prime is 5032440131. The reversal of 5032440064 is 4600442305.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 612109 + ... + 620275.

It is an arithmetic number, because the mean of its divisors is an integer number (146084680).

Almost surely, 25032440064 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 5032440064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5259048480).

5032440064 is an abundant number, since it is smaller than the sum of its proper divisors (5485656896).

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

5032440064 is an equidigital number, since it uses as much as digits as its factorization.

5032440064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8295 (or 8281 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 5032440064 is about 70939.6931484765. The cubic root of 5032440064 is about 1713.6660928505. Note that the first 3 decimals are identical.

Adding to 5032440064 its reverse (4600442305), we get a palindrome (9632882369).

It can be divided in two parts, 5032 and 440064, that added together give a triangular number (445096 = T943).

The spelling of 5032440064 in words is "five billion, thirty-two million, four hundred forty thousand, sixty-four".

Divisors: 1 2 4 8 16 29 32 58 64 83 116 128 166 232 256 332 464 664 928 1328 1856 2407 2656 3712 4814 5312 7424 8167 9628 10624 16334 19256 21248 32668 38512 65336 77024 130672 154048 236843 261344 308096 473686 522688 616192 677861 947372 1045376 1355722 1894744 2090752 2711444 3789488 5422888 7578976 10845776 15157952 19657969 21691552 30315904 39315938 43383104 60631808 78631876 86766208 157263752 173532416 314527504 629055008 1258110016 2516220032 5032440064