Search a number
-
+
11061774540 = 223251719190261
BaseRepresentation
bin10100100110101010…
…10100100011001100
31001112220200100222100
422103111110203030
5140123303241130
65025352115100
7541056350355
oct122325244314
931486610870
1011061774540
1147670a0a33
122188695a90
13107397622b
1476d190d2c
1544b1e2c60
hex2935548cc

11061774540 has 144 divisors (see below), whose sum is σ = 37397898720. Its totient is φ = 2630154240.

The previous prime is 11061774509. The next prime is 11061774569. The reversal of 11061774540 is 4547716011.

11061774540 is a `hidden beast` number, since 1 + 106 + 1 + 7 + 7 + 4 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11061774495 and 11061774504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36991 + ... + 153270.

It is an arithmetic number, because the mean of its divisors is an integer number (259707630).

Almost surely, 211061774540 is an apocalyptic number.

11061774540 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 11061774540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18698949360).

11061774540 is an abundant number, since it is smaller than the sum of its proper divisors (26336124180).

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

11061774540 is a wasteful number, since it uses less digits than its factorization.

11061774540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190312 (or 190307 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 11061774540 in words is "eleven billion, sixty-one million, seven hundred seventy-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 19 20 30 34 36 38 45 51 57 60 68 76 85 90 95 102 114 153 170 171 180 190 204 228 255 285 306 323 340 342 380 510 570 612 646 684 765 855 969 1020 1140 1292 1530 1615 1710 1938 2907 3060 3230 3420 3876 4845 5814 6460 9690 11628 14535 19380 29070 58140 190261 380522 570783 761044 951305 1141566 1712349 1902610 2283132 2853915 3234437 3424698 3614959 3805220 5707830 6468874 6849396 7229918 8561745 9703311 10844877 11415660 12937748 14459836 16172185 17123490 18074795 19406622 21689754 29109933 32344370 32534631 34246980 36149590 38813244 43379508 48516555 54224385 58219866 61454303 64688740 65069262 72299180 97033110 108448770 116439732 122908606 130138524 145549665 162673155 184362909 194066220 216897540 245817212 291099330 307271515 325346310 368725818 553088727 582198660 614543030 650692620 737451636 921814545 1106177454 1229086060 1843629090 2212354908 2765443635 3687258180 5530887270 11061774540