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30541111105544 = 231315122712776709
BaseRepresentation
bin1101111000110111010000…
…00101000001100000001000
311000010200221112201000111022
412330123220011001200020
513000341143420334134
6144542220500052012
76301344130035254
oct674335005014010
9130120845630438
1030541111105544
11980545a017636
1235130a4394008
1314070258ab080
147782aa56b264
1537e69ec2052e
hex1bc6e8141808

30541111105544 has 128 divisors (see below), whose sum is σ = 62409557548800. Its totient is φ = 13927868697600.

The previous prime is 30541111105541. The next prime is 30541111105553. The reversal of 30541111105544 is 44550111114503.

It is a super-2 number, since 2×305411111055442 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30541111105541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4552256462 + ... + 4552263170.

It is an arithmetic number, because the mean of its divisors is an integer number (487574668350).

Almost surely, 230541111105544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30541111105544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31204778774400).

30541111105544 is an abundant number, since it is smaller than the sum of its proper divisors (31868446443256).

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

30541111105544 is a wasteful number, since it uses less digits than its factorization.

30541111105544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8383 (or 8379 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 35.

The spelling of 30541111105544 in words is "thirty trillion, five hundred forty-one billion, one hundred eleven million, one hundred five thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 151 227 302 454 604 908 1208 1277 1816 1963 2554 2951 3926 5108 5902 6709 7852 10216 11804 13418 15704 16601 23608 26836 33202 34277 53672 66404 68554 87217 132808 137108 174434 192827 274216 289879 348868 385654 445601 579758 697736 771308 891202 1013059 1159516 1522943 1542616 1782404 2026118 2319032 2506751 3045886 3564808 3768427 4052236 5013502 6091772 7536854 8104472 8567393 10027004 12183544 13169767 15073708 17134786 19798259 20054008 26339534 30147416 34269572 39596518 43771729 52679068 68539144 79193036 87543458 105358136 111376109 158386072 175086916 222752218 229964393 350173832 445504436 459928786 569032477 891008872 919857572 1138064954 1293676343 1839715144 1944798211 2276129908 2587352686 2989537109 3889596422 4552259816 5174705372 5979074218 7779192844 10349410744 11958148436 15558385688 16817792459 23916296872 25282376743 33635584918 50564753486 67271169836 101129506972 134542339672 202259013944 293664529861 587329059722 1174658119444 2349316238888 3817638888193 7635277776386 15270555552772 30541111105544