Search a number
-
+
18354489192 = 2334138326251
BaseRepresentation
bin10001000110000000…
…110100011101101000
31202101011012122210000
4101012000310131220
5300042222123232
612233144223000
71216561404204
oct210600643550
952334178700
1018354489192
1178696a3436
123682a6aa60
1319667c8bc0
14c61945b04
1572657c27c
hex446034768

18354489192 has 160 divisors (see below), whose sum is σ = 56033318880. Its totient is φ = 5579280000.

The previous prime is 18354489191. The next prime is 18354489203. The reversal of 18354489192 is 29198445381.

It is a happy number.

18354489192 is a `hidden beast` number, since 1 + 8 + 3 + 5 + 448 + 9 + 192 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (18354489191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 686067 + ... + 712317.

It is an arithmetic number, because the mean of its divisors is an integer number (350208243).

Almost surely, 218354489192 is an apocalyptic number.

18354489192 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 18354489192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28016659440).

18354489192 is an abundant number, since it is smaller than the sum of its proper divisors (37678829688).

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

18354489192 is a wasteful number, since it uses less digits than its factorization.

18354489192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26365 (or 26352 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 18354489192 in words is "eighteen billion, three hundred fifty-four million, four hundred eighty-nine thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 83 104 108 117 156 162 166 216 234 249 312 324 332 351 468 498 648 664 702 747 936 996 1053 1079 1404 1494 1992 2106 2158 2241 2808 2988 3237 4212 4316 4482 5976 6474 6723 8424 8632 8964 9711 12948 13446 17928 19422 25896 26251 26892 29133 38844 52502 53784 58266 77688 78753 87399 105004 116532 157506 174798 210008 233064 236259 315012 341263 349596 472518 630024 682526 699192 708777 945036 1023789 1365052 1417554 1890072 2047578 2126331 2178833 2730104 2835108 3071367 4095156 4252662 4357666 5670216 6142734 6536499 8190312 8505324 8715332 9214101 12285468 13072998 17010648 17430664 18428202 19609497 24570936 26145996 27642303 28324829 36856404 39218994 52291992 55284606 56649658 58828491 73712808 78437988 84974487 110569212 113299316 117656982 156875976 169948974 176485473 221138424 226598632 235313964 254923461 339897948 352970946 470627928 509846922 679795896 705941892 764770383 1019693844 1411883784 1529540766 2039387688 2294311149 3059081532 4588622298 6118163064 9177244596 18354489192