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3426640333616 = 2417291016176971
BaseRepresentation
bin110001110111010011101…
…011100000101100110000
3110010120202110022210221202
4301313103223200230300
5422120224411133431
611142102110310332
7502365225154163
oct61672353405460
913116673283852
103426640333616
111101259155015
12474132ab83a8
131bb19148cb56
14bbbc9235ada
155e204d298cb
hex31dd3ae0b30

3426640333616 has 160 divisors (see below), whose sum is σ = 7357012246080. Its totient is φ = 1538797568000.

The previous prime is 3426640333607. The next prime is 3426640333619. The reversal of 3426640333616 is 6163330466243.

3426640333616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3426640333619) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 491553011 + ... + 491559981.

It is an arithmetic number, because the mean of its divisors is an integer number (45981326538).

Almost surely, 23426640333616 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 3426640333616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3678506123040).

3426640333616 is an abundant number, since it is smaller than the sum of its proper divisors (3930371912464).

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

3426640333616 is a wasteful number, since it uses less digits than its factorization.

3426640333616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7743 (or 7737 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 47.

Adding to 3426640333616 its reverse (6163330466243), we get a palindrome (9589970799859).

The spelling of 3426640333616 in words is "three trillion, four hundred twenty-six billion, six hundred forty million, three hundred thirty-three thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 17 29 34 58 68 101 116 136 202 232 272 404 464 493 617 808 986 1234 1616 1717 1972 2468 2929 3434 3944 4936 5858 6868 6971 7888 9872 10489 11716 13736 13942 17893 20978 23432 27472 27884 35786 41956 46864 49793 55768 62317 71572 83912 99586 111536 118507 124634 143144 167824 199172 202159 237014 249268 286288 304181 398344 404318 474028 498536 608362 704071 796688 808636 948056 997072 1059389 1216724 1408142 1617272 1807193 1896112 2118778 2433448 2816284 3234544 3436703 3614386 4237556 4301107 4866896 5632568 6873406 7228772 8475112 8602214 11265136 11969207 13746812 14457544 16950224 17204428 20418059 23938414 27493624 28915088 30722281 34408856 40836118 47876828 54987248 61444562 68817712 73118819 81672236 95753656 122889124 124732103 146237638 163344472 191507312 245778248 249464206 292475276 326688944 347107003 434411807 491556496 498928412 584950552 694214006 868823614 997856824 1169901104 1388428012 1737647228 1995713648 2120445751 2776856024 3475294456 4240891502 5553712048 6950588912 7385000719 8481783004 12597942403 14770001438 16963566008 25195884806 29540002876 33927132016 50391769612 59080005752 100783539224 118160011504 201567078448 214165020851 428330041702 856660083404 1713320166808 3426640333616