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13112766480 = 24351121292333
BaseRepresentation
bin11000011011001010…
…01111000000010000
31020211211222112222210
430031211033000100
5203323332011410
610005100032120
7642642450612
oct141545170020
936754875883
1013112766480
1156198a65a0
12265b532640
13130c865328
148c5720db2
1551b2c9220
hex30d94f010

13112766480 has 160 divisors (see below), whose sum is σ = 44384837760. Its totient is φ = 3175997440.

The previous prime is 13112766473. The next prime is 13112766523. The reversal of 13112766480 is 8466721131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5619394 + ... + 5621726.

It is an arithmetic number, because the mean of its divisors is an integer number (277405236).

Almost surely, 213112766480 is an apocalyptic number.

13112766480 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 13112766480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22192418880).

13112766480 is an abundant number, since it is smaller than the sum of its proper divisors (31272071280).

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

13112766480 is a wasteful number, since it uses less digits than its factorization.

13112766480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4489 (or 4483 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 13112766480 in words is "thirteen billion, one hundred twelve million, seven hundred sixty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2129 2333 2640 4258 4666 6387 6999 8516 9332 10645 11665 12774 13998 17032 18664 21290 23330 23419 25548 25663 27996 31935 34064 34995 37328 42580 46660 46838 51096 51326 55992 63870 69990 70257 76989 85160 93320 93676 102192 102652 111984 117095 127740 128315 139980 140514 153978 170320 186640 187352 205304 234190 255480 256630 279960 281028 307956 351285 374704 384945 410608 468380 510960 513260 559920 562056 615912 702570 769890 936760 1026520 1124112 1231824 1405140 1539780 1873520 2053040 2810280 3079560 4966957 5620560 6159120 9933914 14900871 19867828 24834785 29801742 39735656 49669570 54636527 59603484 74504355 79471312 99339140 109273054 119206968 149008710 163909581 198678280 218546108 238413936 273182635 298017420 327819162 397356560 437092216 546365270 596034840 655638324 819547905 874184432 1092730540 1192069680 1311276648 1639095810 2185461080 2622553296 3278191620 4370922160 6556383240 13112766480