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107266458848416 = 2571279973781961
BaseRepresentation
bin11000011000111011101011…
…001011010000110010100000
3112001210120110221121111021121
4120120323223023100302200
5103024423201431122131
61020045310402102024
731410513563224150
oct3030735313206240
9461716427544247
10107266458848416
11311a64a465312a
1210044b6004a914
1347b12506909ca
141c6ba1d710760
15c603a7c18911
hex618eeb2d0ca0

107266458848416 has 96 divisors (see below), whose sum is σ = 243493968678912. Its totient is φ = 45563601807360.

The previous prime is 107266458848321. The next prime is 107266458848429. The reversal of 107266458848416 is 614848854662701.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26471676 + ... + 30253636.

It is an arithmetic number, because the mean of its divisors is an integer number (2536395507072).

Almost surely, 2107266458848416 is an apocalyptic number.

107266458848416 is a gapful number since it is divisible by the number (16) 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 107266458848416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121746984339456).

107266458848416 is an abundant number, since it is smaller than the sum of its proper divisors (136227509830496).

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

107266458848416 is a wasteful number, since it uses less digits than its factorization.

107266458848416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3783102 (or 3783094 counting only the distinct ones).

The product of its (nonzero) digits is 495452160, while the sum is 70.

The spelling of 107266458848416 in words is "one hundred seven trillion, two hundred sixty-six billion, four hundred fifty-eight million, eight hundred forty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 127 224 254 508 889 997 1016 1778 1994 2032 3556 3988 4064 6979 7112 7976 13958 14224 15952 27916 28448 31904 55832 111664 126619 223328 253238 506476 886333 1012952 1772666 2025904 3545332 3781961 4051808 7090664 7563922 14181328 15127844 26473727 28362656 30255688 52947454 60511376 105894908 121022752 211789816 423579632 480309047 847159264 960618094 1921236188 3362163329 3770615117 3842472376 6724326658 7541230234 7684944752 13448653316 15082460468 15369889504 26394305819 26897306632 30164920936 52788611638 53794613264 60329841872 105577223276 107589226528 120659683744 211154446552 422308893104 478868119859 844617786208 957736239718 1915472479436 3352076839013 3830944958872 6704153678026 7661889917744 13408307356052 15323779835488 26816614712104 53633229424208 107266458848416