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11484243360 = 253257975169
BaseRepresentation
bin10101011001000001…
…11010010110100000
31002122100122000020200
422230200322112200
5142004431241420
65135323105200
7554406313032
oct125440722640
932570560220
1011484243360
114963613017
122286072200
131110353895
147ad323c52
15473343b90
hex2ac83a5a0

11484243360 has 72 divisors (see below), whose sum is σ = 39189985380. Its totient is φ = 3062464512.

The previous prime is 11484243343. The next prime is 11484243371. The reversal of 11484243360 is 6334248411.

11484243360 is a `hidden beast` number, since 1 + 148 + 424 + 33 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11480693904 + 3549456 = 107148^2 + 1884^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3986145 + ... + 3989024.

Almost surely, 211484243360 is an apocalyptic number.

11484243360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11484243360 is an abundant number, since it is smaller than the sum of its proper divisors (27705742020).

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

11484243360 is a wasteful number, since it uses less digits than its factorization.

11484243360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7975190 (or 7975179 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 11484243360 in words is "eleven billion, four hundred eighty-four million, two hundred forty-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 7975169 15950338 23925507 31900676 39875845 47851014 63801352 71776521 79751690 95702028 119627535 127602704 143553042 159503380 191404056 239255070 255205408 287106084 319006760 358882605 382808112 478510140 574212168 638013520 717765210 765616224 957020280 1148424336 1276027040 1435530420 1914040560 2296848672 2871060840 3828081120 5742121680 11484243360