Search a number
-
+
2084306295996 = 2232478571437409
BaseRepresentation
bin11110010101001010010…
…101100001110010111100
321101020221220000102112100
4132111022111201302330
5233122124402432441
64233303405305100
7303405024124341
oct36251225416274
97336856012470
102084306295996
11733a49625881
12297b51b65190
1312171a8b1312
1472c495107c8
153933e575cb6
hex1e54a561cbc

2084306295996 has 72 divisors (see below), whose sum is σ = 5387044703040. Its totient is φ = 679192528896.

The previous prime is 2084306295971. The next prime is 2084306295997. The reversal of 2084306295996 is 6995926034802.

2084306295996 is a `hidden beast` number, since 2 + 0 + 8 + 4 + 30 + 6 + 2 + 9 + 599 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2084306295997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 731340 + ... + 2168748.

It is an arithmetic number, because the mean of its divisors is an integer number (74820065320).

Almost surely, 22084306295996 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 2084306295996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693522351520).

2084306295996 is an abundant number, since it is smaller than the sum of its proper divisors (3302738407044).

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

2084306295996 is a wasteful number, since it uses less digits than its factorization.

2084306295996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438323 (or 1438318 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 2084306295996 in words is "two trillion, eighty-four billion, three hundred six million, two hundred ninety-five thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 857 1692 1714 2571 3428 5142 7713 10284 15426 30852 40279 80558 120837 161116 241674 362511 483348 725022 1437409 1450044 2874818 4312227 5749636 8624454 12936681 17248908 25873362 51746724 67558223 135116446 202674669 270232892 405349338 608024007 810698676 1216048014 1231859513 2432096028 2463719026 3695578539 4927438052 7391157078 11086735617 14782314156 22173471234 44346942468 57897397111 115794794222 173692191333 231589588444 347384382666 521076573999 694768765332 1042153147998 2084306295996