Search a number
-
+
336049774047 = 321319295239967
BaseRepresentation
bin1001110001111100010…
…00001001110111011111
31012010101212221021221200
410320332020021313133
521001212220232142
6414213520530543
733164424643401
oct4707610116737
91163355837850
10336049774047
1111a577378099
1255166480a53
13258c6699060
141239cc34b71
158b1c4a364c
hex4e3e209ddf

336049774047 has 96 divisors (see below), whose sum is σ = 570376934400. Its totient is φ = 188779320576.

The previous prime is 336049774037. The next prime is 336049774057. The reversal of 336049774047 is 740477940633.

It is an interprime number because it is at equal distance from previous prime (336049774037) and next prime (336049774057).

It is not a de Polignac number, because 336049774047 - 24 = 336049774031 is a prime.

It is a super-2 number, since 2×3360497740472 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 336049773984 and 336049774002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336049774037) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33711258 + ... + 33721224.

It is an arithmetic number, because the mean of its divisors is an integer number (5941426400).

Almost surely, 2336049774047 is an apocalyptic number.

336049774047 is a deficient number, since it is larger than the sum of its proper divisors (234327160353).

336049774047 is a wasteful number, since it uses less digits than its factorization.

336049774047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10557 (or 10554 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 54.

The spelling of 336049774047 in words is "three hundred thirty-six billion, forty-nine million, seven hundred seventy-four thousand, forty-seven".

Divisors: 1 3 9 13 19 29 39 57 87 117 171 247 261 377 523 551 741 1131 1569 1653 2223 3393 4707 4959 6799 7163 9937 9967 15167 20397 21489 29811 29901 45501 61191 64467 89433 89703 129181 129571 136503 189373 197171 288173 289043 387543 388713 568119 591513 864519 867129 1162629 1166139 1704357 1774539 2461849 2593557 2601387 3746249 3757559 5212741 5491817 7385547 11238747 11272677 15638223 16475451 22156641 33716241 33818031 46914669 49426353 67765633 71393621 99042079 151169489 203296899 214180863 297126237 453508467 609890697 642542589 891378711 1287547027 1360525401 1965203357 2872220291 3862641081 5895610071 8616660873 11587923243 17686830213 25849982619 37338863783 112016591349 336049774047