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11304554520 = 2335788315241
BaseRepresentation
bin10101000011100110…
…11101000000011000
31002011211111212111110
422201303131000120
5141122431221040
65105423500320
7550065061620
oct124163350030
932154455443
1011304554520
114881143146
122235a576a0
1310b205b51c
1479350b880
1546269c980
hex2a1cdd018

11304554520 has 128 divisors (see below), whose sum is σ = 38804912640. Its totient is φ = 2580802560.

The previous prime is 11304554501. The next prime is 11304554627. The reversal of 11304554520 is 2545540311.

It is a super-3 number, since 3×113045545203 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 734100 + ... + 749340.

It is an arithmetic number, because the mean of its divisors is an integer number (303163380).

Almost surely, 211304554520 is an apocalyptic number.

11304554520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11304554520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19402456320).

11304554520 is an abundant number, since it is smaller than the sum of its proper divisors (27500358120).

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

11304554520 is a wasteful number, since it uses less digits than its factorization.

11304554520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16145 (or 16141 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 11304554520 in words is "eleven billion, three hundred four million, five hundred fifty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 883 1766 2649 3532 4415 5298 6181 7064 8830 10596 12362 13245 15241 17660 18543 21192 24724 26490 30482 30905 35320 37086 45723 49448 52980 60964 61810 74172 76205 91446 92715 105960 106687 121928 123620 148344 152410 182892 185430 213374 228615 247240 304820 320061 365784 370860 426748 457230 533435 609640 640122 741720 853496 914460 1066870 1280244 1600305 1828920 2133740 2560488 3200610 4267480 6401220 12802440 13457803 26915606 40373409 53831212 67289015 80746818 94204621 107662424 134578030 161493636 188409242 201867045 269156060 282613863 322987272 376818484 403734090 471023105 538312120 565227726 753636968 807468180 942046210 1130455452 1413069315 1614936360 1884092420 2260910904 2826138630 3768184840 5652277260 11304554520