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10807198974 = 232112131920089
BaseRepresentation
bin10100001000010100…
…01100010011111110
31000220011122120221200
422010022030103332
5134113120331344
64544215440330
7531545450505
oct120412142376
930804576850
1010807198974
114646422600
1221173860a6
131032cc0cc0
1474744383c
15433ba8069
hex28428c4fe

10807198974 has 144 divisors (see below), whose sum is σ = 29177912400. Its totient is φ = 2863745280.

The previous prime is 10807198967. The next prime is 10807199003. The reversal of 10807198974 is 47989170801.

It is a self number, because there is not a number n which added to its sum of digits gives 10807198974.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 527922 + ... + 548010.

Almost surely, 210807198974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10807198974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14588956200).

10807198974 is an abundant number, since it is smaller than the sum of its proper divisors (18370713426).

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

10807198974 is a wasteful number, since it uses less digits than its factorization.

10807198974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20151 (or 20137 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 10807198974 in words is "ten billion, eight hundred seven million, one hundred ninety-eight thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 11 13 18 19 22 26 33 38 39 57 66 78 99 114 117 121 143 171 198 209 234 242 247 286 342 363 418 429 494 627 726 741 858 1089 1254 1287 1482 1573 1881 2178 2223 2299 2574 2717 3146 3762 4446 4598 4719 5434 6897 8151 9438 13794 14157 16302 20089 20691 24453 28314 29887 40178 41382 48906 59774 60267 89661 120534 179322 180801 220979 261157 268983 361602 381691 441958 522314 537966 662937 763382 783471 1145073 1325874 1566942 1988811 2290146 2350413 2430769 2872727 3435219 3977622 4198601 4700826 4861538 4961983 5745454 6870438 7292307 8397202 8618181 9923966 12595803 14584614 14885949 17236362 21876921 25191606 25854543 29771898 31599997 37787409 43753842 44657847 46184611 51709086 54581813 63199994 75574818 89315694 92369222 94799991 109163626 138553833 163745439 189599982 277107666 284399973 327490878 415661499 491236317 568799946 600399943 831322998 982472634 1200799886 1801199829 3602399658 5403599487 10807198974