Search a number
-
+
11048954202 = 2341113538999
BaseRepresentation
bin10100100101001000…
…11010100101011010
31001112000120000210000
422102210122211122
5140112013013302
65024213233430
7540542363316
oct122244324532
931460500700
1011048954202
11475a934910
122184332876
131071107a30
1476b5b4b46
1544a00e31c
hex29291a95a

11048954202 has 160 divisors (see below), whose sum is σ = 29638224000. Its totient is φ = 3031966080.

The previous prime is 11048954123. The next prime is 11048954207. The reversal of 11048954202 is 20245984011.

11048954202 is a `hidden beast` number, since 1 + 104 + 8 + 9 + 542 + 0 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (11048954207) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1223299 + ... + 1232297.

It is an arithmetic number, because the mean of its divisors is an integer number (185238900).

Almost surely, 211048954202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11048954202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14819112000).

11048954202 is an abundant number, since it is smaller than the sum of its proper divisors (18589269798).

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

11048954202 is a wasteful number, since it uses less digits than its factorization.

11048954202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9090 (or 9081 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 11048954202 in words is "eleven billion, forty-eight million, nine hundred fifty-four thousand, two hundred two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 53 54 66 78 81 99 106 117 143 159 162 198 234 286 297 318 351 429 477 583 594 689 702 858 891 954 1053 1166 1287 1378 1431 1749 1782 2067 2106 2574 2862 3498 3861 4134 4293 5247 6201 7579 7722 8586 8999 10494 11583 12402 15158 15741 17998 18603 22737 23166 26997 31482 37206 45474 47223 53994 55809 68211 80991 94446 98989 111618 116987 136422 161982 197978 204633 233974 242973 296967 350961 409266 476947 485946 593934 613899 701922 728919 890901 953894 1052883 1227798 1286857 1430841 1457838 1781802 2105766 2573714 2672703 2861682 3158649 3860571 4292523 5246417 5345406 6200311 6317298 7721142 8018109 8585046 9475947 10492834 11581713 12400622 12877569 15739251 16036218 18600933 18951894 23163426 25755138 31478502 34745139 37201866 38632707 47217753 55802799 68203421 69490278 77265414 94435506 104235417 111605598 136406842 141653259 167408397 204610263 208470834 283306518 334816794 409220526 424959777 502225191 613830789 849919554 1004450382 1227661578 1841492367 3682984734 5524477101 11048954202