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5087267744 = 251332692
BaseRepresentation
bin1001011110011100…
…11000101110100000
3111010112120222101212
410233032120232200
540404320031434
62200445445252
7240032030246
oct45716305640
914115528355
105087267744
1121806a2609
12b9b870828
13630c65000
143638da796
151eb9438ce
hex12f398ba0

5087267744 has 72 divisors (see below), whose sum is σ = 10890292140. Its totient is φ = 2339241216.

The previous prime is 5087267657. The next prime is 5087267767. The reversal of 5087267744 is 4477627805.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 2207872144 + 2879395600 = 46988^2 + 53660^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5087267692 and 5087267701.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18911642 + ... + 18911910.

Almost surely, 25087267744 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 5087267744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5445146070).

5087267744 is an abundant number, since it is smaller than the sum of its proper divisors (5803024396).

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

5087267744 is an frugal number, since it uses more digits than its factorization.

5087267744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 50.

The square root of 5087267744 is about 71325.0849561359. The cubic root of 5087267744 is about 1719.8670061222.

The spelling of 5087267744 in words is "five billion, eighty-seven million, two hundred sixty-seven thousand, seven hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 269 338 416 538 676 1076 1352 2152 2197 2704 3497 4304 4394 5408 6994 8608 8788 13988 17576 27976 35152 45461 55952 70304 72361 90922 111904 144722 181844 289444 363688 578888 590993 727376 940693 1157776 1181986 1454752 1881386 2315552 2363972 3762772 4727944 7525544 9455888 12229009 15051088 18911776 24458018 30102176 48916036 97832072 158977117 195664144 317954234 391328288 635908468 1271816936 2543633872 5087267744