Search a number
-
+
11256427770 = 2357174373327
BaseRepresentation
bin10100111101110111…
…10111010011111010
31002001110221210000020
422132323313103322
5141023121142040
65100544151310
7545642025450
oct123673672372
932043853006
1011256427770
114856a61875
122221908536
1310a50aa963
1478ad809d0
1545d342cd0
hex29eef74fa

11256427770 has 128 divisors (see below), whose sum is σ = 33451646976. Its totient is φ = 2365203456.

The previous prime is 11256427747. The next prime is 11256427771. The reversal of 11256427770 is 7772465211.

It is a super-2 number, since 2×112564277702 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (11256427771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116847 + ... + 190173.

It is an arithmetic number, because the mean of its divisors is an integer number (261340992).

Almost surely, 211256427770 is an apocalyptic number.

11256427770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11256427770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16725823488).

11256427770 is an abundant number, since it is smaller than the sum of its proper divisors (22195219206).

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

11256427770 is a wasteful number, since it uses less digits than its factorization.

11256427770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73404.

The product of its (nonzero) digits is 164640, while the sum is 42.

The spelling of 11256427770 in words is "eleven billion, two hundred fifty-six million, four hundred twenty-seven thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 43 51 70 85 86 102 105 119 129 170 210 215 238 255 258 301 357 430 510 595 602 645 714 731 903 1190 1290 1462 1505 1785 1806 2193 3010 3570 3655 4386 4515 5117 7310 9030 10234 10965 15351 21930 25585 30702 51170 73327 76755 146654 153510 219981 366635 439962 513289 733270 1026578 1099905 1246559 1539867 2199810 2493118 2566445 3079734 3153061 3739677 5132890 6232795 6306122 7479354 7699335 8725913 9459183 12465590 15398670 15765305 17451826 18698385 18918366 22071427 26177739 31530610 37396770 43629565 44142854 47295915 52355478 53602037 66214281 87259130 94591830 107204074 110357135 130888695 132428562 160806111 220714270 261777390 268010185 321612222 331071405 375214259 536020370 662142810 750428518 804030555 1125642777 1608061110 1876071295 2251285554 3752142590 5628213885 11256427770