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2830812980004 = 223261245972
BaseRepresentation
bin101001001100011001100…
…110100010001100100100
3101000121211020001011020100
4221030121212202030210
5332340001110330004
610004242454304100
7411343120213032
oct51143146421444
911017736034210
102830812980004
119a15a5145509
12398769658030
13176c38151a99
149b025207552
154d981486739
hex293199a2324

2830812980004 has 81 divisors (see below), whose sum is σ = 7276478070771. Its totient is φ = 927933503040.

The previous prime is 2830812979997. The next prime is 2830812980053. The reversal of 2830812980004 is 4000892180382.

The square root of 2830812980004 is 1682502.

It is a perfect power (a square), and thus also a powerful number.

2830812980004 is a `hidden beast` number, since 283 + 0 + 81 + 298 + 0 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2287868004900 + 542944975104 = 1512570^2 + 736848^2 .

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 26 ways as a sum of consecutive naturals, for example, 615793434 + ... + 615798030.

Almost surely, 22830812980004 is an apocalyptic number.

2830812980004 is the 1682502-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2830812980004

2830812980004 is an abundant number, since it is smaller than the sum of its proper divisors (4445665090767).

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

2830812980004 is an frugal number, since it uses more digits than its factorization.

2830812980004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9326 (or 4663 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 2830812980004 in words is "two trillion, eight hundred thirty billion, eight hundred twelve million, nine hundred eighty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 3721 4597 7442 9194 11163 13791 14884 18388 22326 27582 33489 41373 44652 55164 66978 82746 133956 165492 280417 560834 841251 1121668 1682502 2523753 3365004 5047506 10095012 17105437 21132409 34210874 42264818 51316311 63397227 68421748 84529636 102632622 126794454 153948933 190191681 205265244 253588908 307897866 380383362 615795732 760766724 1289076949 2578153898 3867230847 5156307796 7734461694 11601692541 15468923388 23203385082 46406770164 78633693889 157267387778 235901081667 314534775556 471802163334 707703245001 943604326668 1415406490002 2830812980004