Search a number
-
+
18736734042 = 23213176537213
BaseRepresentation
bin10001011100110010…
…111101111101011010
31210100210110201010200
4101130302331331122
5301333100442132
612335121123030
71232212416525
oct213462757532
953323421120
1018736734042
117a45441674
12376aa89476
1319c7a61aa0
14c9a607bbc
15749dd4d7c
hex45ccbdf5a

18736734042 has 96 divisors (see below), whose sum is σ = 46368071568. Its totient is φ = 5416962048.

The previous prime is 18736733993. The next prime is 18736734061. The reversal of 18736734042 is 24043763781.

18736734042 is a `hidden beast` number, since 187 + 3 + 67 + 3 + 404 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9191248641 + 9545485401 = 95871^2 + 97701^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2594028 + ... + 2601240.

Almost surely, 218736734042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18736734042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23184035784).

18736734042 is an abundant number, since it is smaller than the sum of its proper divisors (27631337526).

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

18736734042 is a wasteful number, since it uses less digits than its factorization.

18736734042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7904 (or 7901 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 18736734042 in words is "eighteen billion, seven hundred thirty-six million, seven hundred thirty-four thousand, forty-two".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 653 663 1306 1326 1959 1989 3918 3978 5877 7213 8489 11101 11754 14426 16978 21639 22202 25467 33303 43278 50934 64917 66606 76401 93769 99909 122621 129834 144313 152802 187538 199818 245242 281307 288626 367863 432939 562614 735726 843921 865878 1103589 1298817 1594073 1687842 2207178 2597634 3188146 4710089 4782219 9420178 9564438 14130267 14346657 28260534 28693314 42390801 61231157 80071513 84781602 122462314 160143026 183693471 240214539 367386942 480429078 551080413 720643617 1040929669 1102160826 1441287234 2081859338 3122789007 6245578014 9368367021 18736734042