Search a number
-
+
2120534183208 = 2337383105131357
BaseRepresentation
bin11110110110111001101…
…011111100110100101000
321111201110200011210001210
4132312321223330310220
5234220323222330313
64302054314513120
7306126546104640
oct36667153746450
97451420153053
102120534183208
1174834a29a731
122a2b827357a0
13124c7231187c
14748c4b29520
153a25ecee9c3
hex1edb9afcd28

2120534183208 has 128 divisors (see below), whose sum is σ = 6080461701120. Its totient is φ = 603690796800.

The previous prime is 2120534183189. The next prime is 2120534183279. The reversal of 2120534183208 is 8023814350212.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67609866 + ... + 67641222.

It is an arithmetic number, because the mean of its divisors is an integer number (47503607040).

Almost surely, 22120534183208 is an apocalyptic number.

2120534183208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120534183208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3040230850560).

2120534183208 is an abundant number, since it is smaller than the sum of its proper divisors (3959927517912).

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

2120534183208 is a wasteful number, since it uses less digits than its factorization.

2120534183208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32807 (or 32803 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 2120534183208 in words is "two trillion, one hundred twenty billion, five hundred thirty-four million, one hundred eighty-three thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 383 766 1051 1149 1532 2102 2298 2681 3064 3153 4204 4596 5362 6306 7357 8043 8408 9192 10724 12612 14714 16086 21448 22071 25224 29428 31357 32172 44142 58856 62714 64344 88284 94071 125428 176568 188142 219499 250856 376284 402533 438998 658497 752568 805066 877996 1207599 1316994 1610132 1755992 2415198 2633988 2817731 3220264 4830396 5267976 5635462 8453193 9660792 11270924 12009731 16906386 22541848 24019462 32956207 33812772 36029193 48038924 65912414 67625544 72058386 84068117 96077848 98868621 131824828 144116772 168136234 197737242 230693449 252204351 263649656 288233544 336272468 395474484 461386898 504408702 672544936 692080347 790948968 922773796 1008817404 1384160694 1845547592 2017634808 2768321388 5536642776 12622227281 25244454562 37866681843 50488909124 75733363686 88355590967 100977818248 151466727372 176711181934 265066772901 302933454744 353422363868 530133545802 706844727736 1060267091604 2120534183208