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18245393152 = 287291093221
BaseRepresentation
bin10000111111100000…
…101001101100000000
31202002112221000010221
4100333200221230000
5244331310040102
612214250032424
71214065166020
oct207740515400
952075830127
1018245393152
117813059a18
123652418714
13194a01c12c
14c51267a80
1571bbcc637
hex43f829b00

18245393152 has 144 divisors (see below), whose sum is σ = 43466068800. Its totient is φ = 7478231040.

The previous prime is 18245393143. The next prime is 18245393161. The reversal of 18245393152 is 25139354281.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18245393143) and next prime (18245393161).

It is a junction number, because it is equal to n+sod(n) for n = 18245393099 and 18245393108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5662902 + ... + 5666122.

It is an arithmetic number, because the mean of its divisors is an integer number (301847700).

Almost surely, 218245393152 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 18245393152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21733034400).

18245393152 is an abundant number, since it is smaller than the sum of its proper divisors (25220675648).

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

18245393152 is a wasteful number, since it uses less digits than its factorization.

18245393152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3382 (or 3368 counting only the distinct ones).

The product of its digits is 259200, while the sum is 43.

The spelling of 18245393152 in words is "eighteen billion, two hundred forty-five million, three hundred ninety-three thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 109 112 116 128 203 218 224 232 256 406 436 448 464 763 812 872 896 928 1526 1624 1744 1792 1856 3052 3161 3221 3248 3488 3712 6104 6322 6442 6496 6976 7424 12208 12644 12884 12992 13952 22127 22547 24416 25288 25768 25984 27904 44254 45094 48832 50576 51536 51968 88508 90188 93409 97664 101152 103072 177016 180376 186818 195328 202304 206144 351089 354032 360752 373636 404608 412288 653863 702178 708064 721504 747272 809216 824576 1307726 1404356 1416128 1443008 1494544 2457623 2615452 2808712 2832256 2886016 2989088 4915246 5230904 5617424 5664512 5772032 5978176 9830492 10181581 10461808 11234848 11956352 19660984 20363162 20923616 22469696 23912704 39321968 40726324 41847232 44939392 71271067 78643936 81452648 83694464 89878784 142542134 157287872 162905296 167388928 285084268 314575744 325810592 570168536 629151488 651621184 1140337072 1303242368 2280674144 2606484736 4561348288 9122696576 18245393152