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60441103744 = 277312578467
BaseRepresentation
bin111000010010100100…
…100000110110000000
312210000020121012022221
4320102210200312000
51442240410304434
643433302340424
74236533622310
oct702244406600
9183006535287
1060441103744
11236a647790a
12b86972a714
135912c60818
142cd52b7440
15188b3352b4
hexe12920d80

60441103744 has 128 divisors (see below), whose sum is σ = 142620088320. Its totient is φ = 24967249920.

The previous prime is 60441103717. The next prime is 60441103747. The reversal of 60441103744 is 44730114406.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60441103747) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7134199 + ... + 7142665.

It is an arithmetic number, because the mean of its divisors is an integer number (1114219440).

Almost surely, 260441103744 is an apocalyptic number.

60441103744 is a gapful number since it is divisible by the number (64) 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 60441103744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71310044160).

60441103744 is an abundant number, since it is smaller than the sum of its proper divisors (82178984576).

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

60441103744 is a wasteful number, since it uses less digits than its factorization.

60441103744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8776 (or 8764 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The spelling of 60441103744 in words is "sixty billion, four hundred forty-one million, one hundred three thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 257 434 448 496 514 868 896 992 1028 1736 1799 1984 2056 3472 3598 3968 4112 6944 7196 7967 8224 8467 13888 14392 15934 16448 16934 27776 28784 31868 32896 33868 55769 57568 59269 63736 67736 111538 115136 118538 127472 135472 223076 230272 237076 254944 262477 270944 446152 474152 509888 524954 541888 892304 948304 1019776 1049908 1083776 1784608 1837339 1896608 2099816 2176019 3569216 3674678 3793216 4199632 4352038 7138432 7349356 7586432 8399264 8704076 14698712 15232133 16798528 17408152 29397424 30464266 33597056 34816304 58794848 60928532 67456589 69632608 117589696 121857064 134913178 139265216 235179392 243714128 269826356 278530432 472196123 487428256 539652712 944392246 974856512 1079305424 1888784492 1949713024 2158610848 3777568984 4317221696 7555137968 8634443392 15110275936 30220551872 60441103744