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5016142464 = 27315783203
BaseRepresentation
bin1001010101111110…
…00100001010000000
3110221120202102212020
410222333010022000
540233113024324
62145425201440
7235206336024
oct45277041200
913846672766
105016142464
112144533093
12b7ba90280
1361c2c1248
143582a4384
151e5594679
hex12afc4280

5016142464 has 64 divisors (see below), whose sum is σ = 13409156640. Its totient is φ = 1661377536.

The previous prime is 5016142447. The next prime is 5016142471. The reversal of 5016142464 is 4642416105.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18687 + ... + 101889.

Almost surely, 25016142464 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 5016142464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6704578320).

5016142464 is an abundant number, since it is smaller than the sum of its proper divisors (8393014176).

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

5016142464 is a wasteful number, since it uses less digits than its factorization.

5016142464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83377 (or 83365 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 5016142464 is about 70824.7305960284. The cubic root of 5016142464 is about 1711.8141848581.

Adding to 5016142464 its reverse (4642416105), we get a palindrome (9658558569).

The spelling of 5016142464 in words is "five billion, sixteen million, one hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 157 192 314 384 471 628 942 1256 1884 2512 3768 5024 7536 10048 15072 20096 30144 60288 83203 166406 249609 332812 499218 665624 998436 1331248 1996872 2662496 3993744 5324992 7987488 10649984 13062871 15974976 26125742 31949952 39188613 52251484 78377226 104502968 156754452 209005936 313508904 418011872 627017808 836023744 1254035616 1672047488 2508071232 5016142464