Search a number
-
+
18351301152 = 2532947140249
BaseRepresentation
bin10001000101110100…
…101010001000100000
31202100221012200121110
4101011310222020200
5300040413114102
612232552023320
71216522325502
oct210564521040
952327180543
1018351301152
117867916198
123681991b40
131965c50aa2
14c61355d72
1572614c86c
hex445d2a220

18351301152 has 96 divisors (see below), whose sum is σ = 50893920000. Its totient is φ = 5780461568.

The previous prime is 18351301127. The next prime is 18351301153. The reversal of 18351301152 is 25110315381.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (18351301153) 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, 60724 + ... + 200972.

It is an arithmetic number, because the mean of its divisors is an integer number (530145000).

Almost surely, 218351301152 is an apocalyptic number.

18351301152 is a gapful number since it is divisible by the number (12) 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 18351301152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25446960000).

18351301152 is an abundant number, since it is smaller than the sum of its proper divisors (32542618848).

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

18351301152 is a wasteful number, since it uses less digits than its factorization.

18351301152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140338 (or 140330 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The spelling of 18351301152 in words is "eighteen billion, three hundred fifty-one million, three hundred one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 47 48 58 87 94 96 116 141 174 188 232 282 348 376 464 564 696 752 928 1128 1363 1392 1504 2256 2726 2784 4089 4512 5452 8178 10904 16356 21808 32712 43616 65424 130848 140249 280498 420747 560996 841494 1121992 1682988 2243984 3365976 4067221 4487968 6591703 6731952 8134442 12201663 13183406 13463904 16268884 19775109 24403326 26366812 32537768 39550218 48806652 52733624 65075536 79100436 97613304 105467248 130151072 158200872 191159387 195226608 210934496 316401744 382318774 390453216 573478161 632803488 764637548 1146956322 1529275096 2293912644 3058550192 4587825288 6117100384 9175650576 18351301152