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11090778480 = 2432523669733
BaseRepresentation
bin10100101010000111…
…11101100101110000
31001121221020220220100
422111003331211300
5140203214402410
65032305512400
7541561030065
oct122503754560
931557226810
1011090778480
114781501031
122196342700
13107998ca22
14772d80c6c
1544da218c0
hex2950fd970

11090778480 has 120 divisors (see below), whose sum is σ = 38866003488. Its totient is φ = 2828947968.

The previous prime is 11090778443. The next prime is 11090778487. The reversal of 11090778480 is 8487709011.

11090778480 is a `hidden beast` number, since 1 + 10 + 90 + 7 + 78 + 480 = 666.

11090778480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×110907784802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11090778487) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 318307 + ... + 351426.

Almost surely, 211090778480 is an apocalyptic number.

11090778480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11090778480 is an abundant number, since it is smaller than the sum of its proper divisors (27775225008).

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

11090778480 is a wasteful number, since it uses less digits than its factorization.

11090778480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669775 (or 669766 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 11090778480 in words is "eleven billion, ninety million, seven hundred seventy-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 828 920 1035 1104 1380 1656 1840 2070 2760 3312 4140 5520 8280 16560 669733 1339466 2009199 2678932 3348665 4018398 5357864 6027597 6697330 8036796 10045995 10715728 12055194 13394660 15403859 16073592 20091990 24110388 26789320 30137985 30807718 32147184 40183980 46211577 48220776 53578640 60275970 61615436 77019295 80367960 92423154 96441552 120551940 123230872 138634731 154038590 160735920 184846308 231057885 241103880 246461744 277269462 308077180 369692616 462115770 482207760 554538924 616154360 693173655 739385232 924231540 1109077848 1232308720 1386347310 1848463080 2218155696 2772694620 3696926160 5545389240 11090778480