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12031079248 = 241723770321
BaseRepresentation
bin10110011010001101…
…11011001101010000
31011001110121011001201
423031012323031100
5144114424013443
65305455440544
7604066325536
oct131506731520
934043534051
1012031079248
115114259a01
1223b9226154
131199726b06
14821bcc156
154a635e34d
hex2cd1bb350

12031079248 has 60 divisors (see below), whose sum is σ = 25431670012. Its totient is φ = 5508587520.

The previous prime is 12031079233. The next prime is 12031079257. The reversal of 12031079248 is 84297013021.

12031079248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 6446805264 + 5584273984 = 80292^2 + 74728^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135928 + ... + 206248.

Almost surely, 212031079248 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 12031079248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12715835006).

12031079248 is an abundant number, since it is smaller than the sum of its proper divisors (13400590764).

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

12031079248 is a wasteful number, since it uses less digits than its factorization.

12031079248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70400 (or 70377 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 12031079248 in words is "twelve billion, thirty-one million, seventy-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 17 34 37 68 74 136 148 272 289 296 578 592 629 1156 1258 2312 2516 4624 5032 10064 10693 21386 42772 70321 85544 140642 171088 281284 562568 1125136 1195457 2390914 2601877 4781828 5203754 9563656 10407508 19127312 20322769 20815016 40645538 41630032 44231909 81291076 88463818 162582152 176927636 325164304 353855272 707710544 751942453 1503884906 3007769812 6015539624 12031079248