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5007366784 = 2778396661
BaseRepresentation
bin1001010100111011…
…00101101010000000
3110220222020120220001
410222131211222000
540223341214114
62144513125344
7235041625660
oct45235455200
913828216801
105007366784
11213a589862
12b78b59854
1361a53aa34
1435705c1a0
151e490e374
hex12a765a80

5007366784 has 64 divisors (see below), whose sum is σ = 11416003200. Its totient is φ = 2143134720.

The previous prime is 5007366743. The next prime is 5007366797. The reversal of 5007366784 is 4876637005.

It is a tau number, because it is divible by the number of its divisors (64).

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, 748414 + ... + 755074.

It is an arithmetic number, because the mean of its divisors is an integer number (178375050).

Almost surely, 25007366784 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 5007366784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5708001600).

5007366784 is an abundant number, since it is smaller than the sum of its proper divisors (6408636416).

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

5007366784 is an equidigital number, since it uses as much as digits as its factorization.

5007366784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7521 (or 7509 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 46.

The square root of 5007366784 is about 70762.7499748279. The cubic root of 5007366784 is about 1710.8153361345.

The spelling of 5007366784 in words is "five billion, seven million, three hundred sixty-six thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 839 896 1678 3356 5873 6661 6712 11746 13322 13424 23492 26644 26848 46627 46984 53288 53696 93254 93968 106576 107392 186508 187936 213152 373016 375872 426304 746032 751744 852608 1492064 2984128 5588579 5968256 11177158 22354316 39120053 44708632 78240106 89417264 156480212 178834528 312960424 357669056 625920848 715338112 1251841696 2503683392 5007366784