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11338539840 = 263351312331
BaseRepresentation
bin10101000111101010…
…00110001101000000
31002021012110111121000
422203311012031000
5141210131233330
65113040132000
7550656666315
oct124365061500
932235414530
1011338539840
114899345891
122245307000
1310b90ca494
14797c36d0c
15465662560
hex2a3d46340

11338539840 has 112 divisors (see below), whose sum is σ = 39999879360. Its totient is φ = 3023608320.

The previous prime is 11338539829. The next prime is 11338539841. The reversal of 11338539840 is 4893583311.

11338539840 is a `hidden beast` number, since 1 + 1 + 3 + 38 + 539 + 84 + 0 = 666.

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 (11338539841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 647526 + ... + 664805.

It is an arithmetic number, because the mean of its divisors is an integer number (357141780).

Almost surely, 211338539840 is an apocalyptic number.

11338539840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11338539840 is an abundant number, since it is smaller than the sum of its proper divisors (28661339520).

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

11338539840 is a wasteful number, since it uses less digits than its factorization.

11338539840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312357 (or 1312341 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 11338539840 in words is "eleven billion, three hundred thirty-eight million, five hundred thirty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 1312331 2624662 3936993 5249324 6561655 7873986 10498648 11810979 13123310 15747972 19684965 20997296 23621958 26246620 31495944 35432937 39369930 41994592 47243916 52493240 59054895 62991888 70865874 78739860 83989184 94487832 104986480 118109790 125983776 141731748 157479720 177164685 188975664 209972960 236219580 251967552 283463496 314959440 354329370 377951328 419945920 472439160 566926992 629918880 708658740 755902656 944878320 1133853984 1259837760 1417317480 1889756640 2267707968 2834634960 3779513280 5669269920 11338539840