Search a number
-
+
11238512844 = 223132192631109
BaseRepresentation
bin10100111011101111…
…00001100011001100
31002000020020121100110
422131313201203030
5141004024402334
65055104200020
7545333532366
oct123567414314
932006217313
1011238512844
114847936049
122217909010
1310a1477600
14788839d36
1545b9a4ae9
hex29dde18cc

11238512844 has 144 divisors (see below), whose sum is σ = 30030739200. Its totient is φ = 3260604672.

The previous prime is 11238512833. The next prime is 11238512869. The reversal of 11238512844 is 44821583211.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 10133362 + ... + 10134470.

It is an arithmetic number, because the mean of its divisors is an integer number (208546800).

Almost surely, 211238512844 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11238512844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15015369600).

11238512844 is an abundant number, since it is smaller than the sum of its proper divisors (18792226356).

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

11238512844 is a wasteful number, since it uses less digits than its factorization.

11238512844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 1409 counting only the distinct ones).

The product of its digits is 61440, while the sum is 39.

The spelling of 11238512844 in words is "eleven billion, two hundred thirty-eight million, five hundred twelve thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 169 228 247 263 338 494 507 526 676 741 789 988 1014 1052 1109 1482 1578 2028 2218 2964 3156 3211 3327 3419 4436 4997 6422 6654 6838 9633 9994 10257 12844 13308 13676 14417 14991 19266 19988 20514 21071 28834 29982 38532 41028 42142 43251 44447 57668 59964 63213 64961 84284 86502 88894 126426 129922 133341 173004 177788 187421 194883 252852 259844 266682 273923 291667 374842 389766 533364 547846 562263 583334 749684 779532 821769 844493 875001 1095692 1124526 1166668 1643538 1688986 1750002 2249052 2533479 3287076 3377972 3500004 3560999 3791671 5066958 5541673 7121998 7583342 10133916 10682997 11083346 11375013 14243996 15166684 16625019 21365994 22166692 22750026 33250038 42731988 45500052 49291723 66500076 72041749 98583446 144083498 147875169 197166892 216125247 288166996 295750338 432250494 591500676 864500988 936542737 1873085474 2809628211 3746170948 5619256422 11238512844