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11339084680 = 23571129126949
BaseRepresentation
bin10101000111101110…
…01011001110001000
31002021020111011222021
422203313023032020
5141210301202210
65113055534224
7550664425630
oct124367131610
932236434867
1011339084680
114899688170
12224552a374
1310b925b481
14797d396c0
1546571dbda
hex2a3dcb388

11339084680 has 128 divisors (see below), whose sum is σ = 32905440000. Its totient is φ = 3412362240.

The previous prime is 11339084641. The next prime is 11339084699. The reversal of 11339084680 is 8648093311.

11339084680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×113390846803 (a number of 31 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 25846 + ... + 152794.

It is an arithmetic number, because the mean of its divisors is an integer number (257073750).

Almost surely, 211339084680 is an apocalyptic number.

11339084680 is a gapful number since it is divisible by the number (10) 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 11339084680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16452720000).

11339084680 is an abundant number, since it is smaller than the sum of its proper divisors (21566355320).

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

11339084680 is a wasteful number, since it uses less digits than its factorization.

11339084680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127007 (or 127003 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 11339084680 in words is "eleven billion, three hundred thirty-nine million, eighty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 29 35 40 44 55 56 58 70 77 88 110 116 140 145 154 203 220 232 280 290 308 319 385 406 440 580 616 638 770 812 1015 1160 1276 1540 1595 1624 2030 2233 2552 3080 3190 4060 4466 6380 8120 8932 11165 12760 17864 22330 44660 89320 126949 253898 507796 634745 888643 1015592 1269490 1396439 1777286 2538980 2792878 3554572 3681521 4443215 5077960 5585756 6982195 7109144 7363042 8886430 9775073 11171512 13964390 14726084 17772860 18407605 19550146 25770647 27928780 29452168 35545720 36815210 39100292 40496731 48875365 51541294 55857560 73630420 78200584 80993462 97750730 103082588 128853235 147260840 161986924 195501460 202483655 206165176 257706470 283477117 323973848 391002920 404967310 515412940 566954234 809934620 1030825880 1133908468 1417385585 1619869240 2267816936 2834771170 5669542340 11339084680