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11234018520 = 2333517958111
BaseRepresentation
bin10100111011001100…
…11000010011011000
31001222220210021022000
422131212120103120
5141001402043040
65054424001000
7545250403404
oct123546302330
931886707260
1011234018520
11484534642a
122216300160
1310a0562a4a
14787dca104
1545b3b8130
hex29d9984d8

11234018520 has 128 divisors (see below), whose sum is σ = 37656576000. Its totient is φ = 2978951040.

The previous prime is 11234018513. The next prime is 11234018533. The reversal of 11234018520 is 2581043211.

11234018520 is a `hidden beast` number, since 1 + 123 + 4 + 0 + 18 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164265 + ... + 222375.

It is an arithmetic number, because the mean of its divisors is an integer number (294192000).

Almost surely, 211234018520 is an apocalyptic number.

11234018520 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 11234018520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18828288000).

11234018520 is an abundant number, since it is smaller than the sum of its proper divisors (26422557480).

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

11234018520 is a wasteful number, since it uses less digits than its factorization.

11234018520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58310 (or 58300 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 11234018520 in words is "eleven billion, two hundred thirty-four million, eighteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 179 180 216 270 358 360 537 540 716 895 1074 1080 1432 1611 1790 2148 2685 3222 3580 4296 4833 5370 6444 7160 8055 9666 10740 12888 16110 19332 21480 24165 32220 38664 48330 58111 64440 96660 116222 174333 193320 232444 290555 348666 464888 522999 581110 697332 871665 1045998 1162220 1394664 1568997 1743330 2091996 2324440 2614995 3137994 3486660 4183992 5229990 6275988 6973320 7844985 10401869 10459980 12551976 15689970 20803738 20919960 31205607 31379940 41607476 52009345 62411214 62759880 83214952 93616821 104018690 124822428 156028035 187233642 208037380 249644856 280850463 312056070 374467284 416074760 468084105 561700926 624112140 748934568 936168210 1123401852 1248224280 1404252315 1872336420 2246803704 2808504630 3744672840 5617009260 11234018520