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4287340437824 = 26531263956497
BaseRepresentation
bin111110011000111001011…
…001110110000101000000
3120011212101010102100010002
4332120321121312011000
51030220433123002244
613041324344455132
7621515202301103
oct76307131660500
916155333370102
104287340437824
1114032839a7494
12592ab977a4a8
132513a9c41342
1410b71901473a
15767cc062a4e
hex3e639676140

4287340437824 has 28 divisors (see below), whose sum is σ = 8668213663284. Its totient is φ = 2103223609344.

The previous prime is 4287340437803. The next prime is 4287340437869.

4287340437824 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 2665487247424 + 1621853190400 = 1632632^2 + 1273520^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4287340437824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 631974857 + ... + 631981640.

It is an arithmetic number, because the mean of its divisors is an integer number (309579059403).

Almost surely, 24287340437824 is an apocalyptic number.

It is an amenable number.

4287340437824 is an abundant number, since it is smaller than the sum of its proper divisors (4380873225460).

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

4287340437824 is a wasteful number, since it uses less digits than its factorization.

4287340437824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263956562 (or 1263956552 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 56.

The spelling of 4287340437824 in words is "four trillion, two hundred eighty-seven billion, three hundred forty million, four hundred thirty-seven thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1696 3392 1263956497 2527912994 5055825988 10111651976 20223303952 40446607904 66989694341 80893215808 133979388682 267958777364 535917554728 1071835109456 2143670218912 4287340437824