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18348879640 = 2357135985439
BaseRepresentation
bin10001000101101011…
…011010111100011000
31202100202122122220211
4101011223122330120
5300034303122030
612232424100504
71216462621630
oct210553327430
952322578824
1018348879640
117866511943
123681004734
1319655b3840
14c60cc56c0
15725d2012a
hex445adaf18

18348879640 has 128 divisors (see below), whose sum is σ = 51674112000. Its totient is φ = 5708625408.

The previous prime is 18348879629. The next prime is 18348879641. The reversal of 18348879640 is 4697884381.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18348879641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172041 + ... + 257479.

It is an arithmetic number, because the mean of its divisors is an integer number (403704000).

Almost surely, 218348879640 is an apocalyptic number.

18348879640 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 18348879640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25837056000).

18348879640 is an abundant number, since it is smaller than the sum of its proper divisors (33325232360).

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

18348879640 is a wasteful number, since it uses less digits than its factorization.

18348879640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85529 (or 85525 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 58.

The spelling of 18348879640 in words is "eighteen billion, three hundred forty-eight million, eight hundred seventy-nine thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 59 65 70 91 104 118 130 140 182 236 260 280 295 364 413 455 472 520 590 728 767 826 910 1180 1534 1652 1820 2065 2360 3068 3304 3640 3835 4130 5369 6136 7670 8260 10738 15340 16520 21476 26845 30680 42952 53690 85439 107380 170878 214760 341756 427195 598073 683512 854390 1110707 1196146 1708780 2221414 2392292 2990365 3417560 4442828 4784584 5040901 5553535 5980730 7774949 8885656 10081802 11107070 11961460 15549898 20163604 22214140 23922920 25204505 31099796 35286307 38874745 40327208 44428280 50409010 62199592 65531713 70572614 77749490 100818020 131063426 141145228 155498980 176431535 201636040 262126852 282290456 310997960 327658565 352863070 458721991 524253704 655317130 705726140 917443982 1310634260 1411452280 1834887964 2293609955 2621268520 3669775928 4587219910 9174439820 18348879640