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11438113350750 = 2353294951106219
BaseRepresentation
bin1010011001110010010010…
…1011101110010001011110
31111111110202210012212120120
42212130210223232101132
52444400224004211000
640154332521055410
72260243053212112
oct246344453562136
944443683185516
1011438113350750
11370a970882899
121348949027566
1364c7bcca6b38
142b7871515742
1514c7e91176a0
hexa6724aee45e

11438113350750 has 128 divisors (see below), whose sum is σ = 29540240870400. Its totient is φ = 2944362960000.

The previous prime is 11438113350733. The next prime is 11438113350767. The reversal of 11438113350750 is 5705331183411.

It is an interprime number because it is at equal distance from previous prime (11438113350733) and next prime (11438113350767).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107631141 + ... + 107737359.

It is an arithmetic number, because the mean of its divisors is an integer number (230783131800).

Almost surely, 211438113350750 is an apocalyptic number.

11438113350750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11438113350750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14770120435200).

11438113350750 is an abundant number, since it is smaller than the sum of its proper divisors (18102127519650).

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

11438113350750 is a wasteful number, since it uses less digits than its factorization.

11438113350750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111219 (or 111209 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 11438113350750 in words is "eleven trillion, four hundred thirty-eight billion, one hundred thirteen million, three hundred fifty thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 75 87 125 145 150 174 250 290 375 435 725 750 870 1450 2175 3625 4350 4951 7250 9902 10875 14853 21750 24755 29706 49510 74265 106219 123775 143579 148530 212438 247550 287158 318657 371325 430737 531095 618875 637314 717895 742650 861474 1062190 1237750 1435790 1593285 1856625 2153685 2655475 3080351 3186570 3589475 3713250 4307370 5310950 6160702 7178950 7966425 9241053 10768425 13277375 15401755 15932850 17947375 18482106 21536850 26554750 30803510 35894750 39832125 46205265 53842125 77008775 79664250 92410530 107684250 154017550 231026325 385043875 462052650 525890269 770087750 1051780538 1155131625 1577670807 2310263250 2629451345 3155341614 5258902690 7888354035 13147256725 15250817801 15776708070 26294513450 30501635602 39441770175 45752453403 65736283625 76254089005 78883540350 91504906806 131472567250 152508178010 197208850875 228762267015 381270445025 394417701750 457524534030 762540890050 1143811335075 1906352225125 2287622670150 3812704450250 5719056675375 11438113350750