Search a number
-
+
10364884998 = 23137389113181
BaseRepresentation
bin10011010011100101…
…11001100000000110
3222202100100201020120
421221302321200012
5132211402304443
64432255242410
7514565032416
oct115162714006
928670321216
1010364884998
114439786566
122013219406
13c92485860
147047c6646
15409e37083
hex269cb9806

10364884998 has 128 divisors (see below), whose sum is σ = 23214522240. Its totient is φ = 3065610240.

The previous prime is 10364884969. The next prime is 10364885051. The reversal of 10364884998 is 89948846301.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57264468 + ... + 57264648.

It is an arithmetic number, because the mean of its divisors is an integer number (181363455).

Almost surely, 210364884998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10364884998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11607261120).

10364884998 is an abundant number, since it is smaller than the sum of its proper divisors (12849637242).

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

10364884998 is a wasteful number, since it uses less digits than its factorization.

10364884998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474.

The product of its (nonzero) digits is 11943936, while the sum is 60.

The spelling of 10364884998 in words is "ten billion, three hundred sixty-four million, eight hundred eighty-four thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 13 26 39 73 78 89 113 146 178 181 219 226 267 339 362 438 534 543 678 949 1086 1157 1469 1898 2314 2353 2847 2938 3471 4407 4706 5694 6497 6942 7059 8249 8814 10057 12994 13213 14118 16109 16498 19491 20114 20453 24747 26426 30171 32218 38982 39639 40906 48327 49494 60342 61359 79278 84461 96654 107237 122718 130741 168922 171769 209417 214474 253383 261482 265889 321711 343538 392223 418834 506766 515307 531778 628251 643422 734161 784446 797667 1030614 1175957 1256502 1468322 1493069 1595334 1820317 2202483 2351914 2986138 3527871 3640634 4404966 4479207 5460951 7055742 8958414 9544093 10921902 15287441 19088186 19409897 23664121 28632279 30574882 38819794 45862323 47328242 57264558 58229691 70992363 91724646 116459382 132883141 141984726 265766282 398649423 797298846 1727480833 3454961666 5182442499 10364884998