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2830782577808 = 241734742737019
BaseRepresentation
bin101001001100010111110…
…010100011110010010000
3101000121202002211120021002
4221030113302203302100
5332334420314442213
610004235450521132
7411342300620633
oct51142762436220
911017662746232
102830782577808
119a1589a6a929
1239875b4361a8
13176c31a68a13
149b021171c1a
154d97d97d658
hex29317ca3c90

2830782577808 has 80 divisors (see below), whose sum is σ = 5826195760320. Its totient is φ = 1327793922048.

The previous prime is 2830782577807. The next prime is 2830782577829. The reversal of 2830782577808 is 8087752870382.

It is not an unprimeable number, because it can be changed into a prime (2830782577807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 403299323 + ... + 403306341.

It is an arithmetic number, because the mean of its divisors is an integer number (72827447004).

Almost surely, 22830782577808 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 2830782577808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913097880160).

2830782577808 is an abundant number, since it is smaller than the sum of its proper divisors (2995413182512).

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

2830782577808 is a wasteful number, since it uses less digits than its factorization.

2830782577808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11664 (or 11658 counting only the distinct ones).

The product of its (nonzero) digits is 84295680, while the sum is 65.

The spelling of 2830782577808 in words is "two trillion, eight hundred thirty billion, seven hundred eighty-two million, five hundred seventy-seven thousand, eight hundred eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 347 694 1388 2776 4273 5552 5899 7019 8546 11798 14038 17092 23596 28076 34184 47192 56152 68368 72641 94384 112304 119323 145282 238646 290564 477292 581128 954584 1162256 1482731 1909168 2435593 2965462 4871186 5930924 9742372 11861848 19484744 23723696 25206427 29992187 38969488 41405081 50412854 59984374 82810162 100825708 119968748 165620324 201651416 239937496 331240648 403302832 479874992 509867179 662481296 1019734358 2039468716 4078937432 8157874864 10407288889 20814577778 41629155556 83258311112 166516622224 176923911113 353847822226 707695644452 1415391288904 2830782577808