Search a number
-
+
11195681160 = 23351717331723
BaseRepresentation
bin10100110110101000…
…01000100110001000
31001220020122112022210
422123110020212020
5140412043244120
65050534145120
7544303501566
oct123324104610
931806575283
1011195681160
114825740a64
1222054b21a0
13109562bc11
14782c8aa36
15457d43ce0
hex29b508988

11195681160 has 128 divisors (see below), whose sum is σ = 35769444480. Its totient is φ = 2793566208.

The previous prime is 11195681137. The next prime is 11195681171. The reversal of 11195681160 is 6118659111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337059 + ... + 368781.

It is an arithmetic number, because the mean of its divisors is an integer number (279448785).

Almost surely, 211195681160 is an apocalyptic number.

11195681160 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 11195681160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17884722240).

11195681160 is an abundant number, since it is smaller than the sum of its proper divisors (24573763320).

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

11195681160 is a wasteful number, since it uses less digits than its factorization.

11195681160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31927 (or 31923 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 39.

The spelling of 11195681160 in words is "eleven billion, one hundred ninety-five million, six hundred eighty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 173 204 255 340 346 408 510 519 680 692 865 1020 1038 1384 1730 2040 2076 2595 2941 3460 4152 5190 5882 6920 8823 10380 11764 14705 17646 20760 23528 29410 31723 35292 44115 58820 63446 70584 88230 95169 117640 126892 158615 176460 190338 253784 317230 352920 380676 475845 539291 634460 761352 951690 1078582 1268920 1617873 1903380 2157164 2696455 3235746 3806760 4314328 5392910 5488079 6471492 8089365 10785820 10976158 12942984 16178730 16464237 21571640 21952316 27440395 32357460 32928474 43904632 54880790 64714920 65856948 82321185 93297343 109761580 131713896 164642370 186594686 219523160 279892029 329284740 373189372 466486715 559784058 658569480 746378744 932973430 1119568116 1399460145 1865946860 2239136232 2798920290 3731893720 5597840580 11195681160