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18240993568 = 2571631792791
BaseRepresentation
bin10000111111001111…
…110111100100100000
31202002020122111001101
4100333033313210200
5244324143243233
612214011444144
71214012613160
oct207717674440
952066574041
1018240993568
1178106244a6
123650a56654
13194913b725
14c508405a0
1571b60dc7d
hex43f3f7920

18240993568 has 96 divisors (see below), whose sum is σ = 41539599360. Its totient is φ = 7723434240.

The previous prime is 18240993559. The next prime is 18240993569. The reversal of 18240993568 is 86539904281.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (18240993569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6534253 + ... + 6537043.

It is an arithmetic number, because the mean of its divisors is an integer number (432704160).

Almost surely, 218240993568 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 18240993568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20769799680).

18240993568 is an abundant number, since it is smaller than the sum of its proper divisors (23298605792).

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

18240993568 is a wasteful number, since it uses less digits than its factorization.

18240993568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3150 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 55.

The spelling of 18240993568 in words is "eighteen billion, two hundred forty million, nine hundred ninety-three thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 163 179 224 326 358 652 716 1141 1253 1304 1432 2282 2506 2608 2791 2864 4564 5012 5216 5582 5728 9128 10024 11164 18256 19537 20048 22328 29177 36512 39074 40096 44656 58354 78148 89312 116708 156296 204239 233416 312592 408478 454933 466832 499589 625184 816956 909866 933664 999178 1633912 1819732 1998356 3184531 3267824 3497123 3639464 3996712 6369062 6535648 6994246 7278928 7993424 12738124 13988492 14557856 15986848 25476248 27976984 50952496 55953968 81433007 101904992 111907936 162866014 325732028 570031049 651464056 1140062098 1302928112 2280124196 2605856224 4560248392 9120496784 18240993568