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85264734951 = 321121931307433
BaseRepresentation
bin100111101101000101…
…1001001101011100111
322011002020122022122100
41033122023021223213
52344110233004301
6103100423103143
76105640201044
oct1173213115347
9264066568570
1085264734951
11331847a1400
1214636ba1ab3
13806aa94bb6
1441ac0701cb
1523407ba286
hex13da2c9ae7

85264734951 has 144 divisors (see below), whose sum is σ = 147916088320. Its totient is φ = 47113228800.

The previous prime is 85264734949. The next prime is 85264734967. The reversal of 85264734951 is 15943746258.

It is a happy number.

85264734951 is a `hidden beast` number, since 8 + 526 + 4 + 73 + 49 + 5 + 1 = 666.

It is not a de Polignac number, because 85264734951 - 21 = 85264734949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85264734911) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 196916031 + ... + 196916463.

Almost surely, 285264734951 is an apocalyptic number.

85264734951 is a deficient number, since it is larger than the sum of its proper divisors (62651353369).

85264734951 is a wasteful number, since it uses less digits than its factorization.

85264734951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 804 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 85264734951 in words is "eighty-five billion, two hundred sixty-four million, seven hundred thirty-four thousand, nine hundred fifty-one".

Divisors: 1 3 9 11 19 31 33 57 93 99 121 171 209 279 307 341 363 433 589 627 921 1023 1089 1299 1767 1881 2299 2763 3069 3377 3751 3897 4763 5301 5833 6479 6897 8227 9517 10131 11253 13423 14289 17499 19437 20691 24681 28551 30393 33759 37147 40269 42867 52393 52497 58311 64163 71269 74043 85653 90497 104687 111441 120807 132931 147653 157179 180823 192489 213807 255037 271491 314061 334323 398793 442959 471537 542469 577467 641421 705793 765111 814473 942183 995467 1151557 1196379 1328877 1462241 1624183 1627407 1989053 2117379 2295333 2525689 2805407 2986401 3454671 4120861 4386723 4872549 5967159 6352137 7577067 8416221 8959203 10364013 12362583 13160169 14617647 16084651 17901477 21879583 22731201 25248663 27782579 30859477 37087749 45329471 48253953 65638749 78296359 83347737 92578431 135988413 144761859 196916247 234889077 250043211 277735293 305608369 407965239 498624181 704667231 861259949 916825107 1495872543 2583779847 2750475321 4487617629 7751339541 9473859439 28421578317 85264734951