Search a number
-
+
85004792037 = 361119673829
BaseRepresentation
bin100111100101010101…
…1100011000011100101
322010102010111212000000
41033022223203003211
52343042211321122
6103014535411513
76066332545014
oct1171253430345
9263363455000
1085004792037
1133060a97450
1214583b23b99
138028c80919
144185726a7b
152327a700ac
hex13caae30e5

85004792037 has 112 divisors (see below), whose sum is σ = 146747054400. Its totient is φ = 48675271680.

The previous prime is 85004792003. The next prime is 85004792057. The reversal of 85004792037 is 73029740058.

It is not a de Polignac number, because 85004792037 - 210 = 85004791013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85004791983 and 85004792001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85004792057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 102538539 + ... + 102539367.

Almost surely, 285004792037 is an apocalyptic number.

It is an amenable number.

85004792037 is a deficient number, since it is larger than the sum of its proper divisors (61742262363).

85004792037 is a wasteful number, since it uses less digits than its factorization.

85004792037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 85004792037 in words is "eighty-five billion, four million, seven hundred ninety-two thousand, thirty-seven".

Divisors: 1 3 9 11 19 27 33 57 81 99 171 209 243 297 513 627 673 729 829 891 1539 1881 2019 2487 2673 4617 5643 6057 7403 7461 8019 9119 12787 13851 15751 16929 18171 22209 22383 27357 38361 47253 50787 54513 66627 67149 82071 115083 140657 141759 152361 163539 173261 199881 201447 246213 345249 421971 425277 490617 519783 557917 599643 604341 738639 1035747 1265913 1275831 1559349 1673751 1798929 2215917 3107241 3797739 3827493 4678047 5021253 5396787 6137087 6647751 9321723 10600423 11393217 11482479 14034141 15063759 18411261 31801269 34179651 42102423 45191277 55233783 95403807 102538953 116604653 126307269 135573831 165701349 286211421 349813959 406721493 497104047 858634263 1049441877 1491312141 2575902789 3148325631 4473936423 7727708367 9444976893 28334930679 85004792037