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128252642626812 = 2231126912689284651
BaseRepresentation
bin11101001010010100100101…
…001101001000110011111100
3121211002211111011211122102010
4131022110211031020303330
5113302242403003024222
61132434241201131220
736004643021122464
oct3512244515106374
9554084434748363
10128252642626812
11379577052502a0
121247427a629b10
135674231729002
14239566509aba4
15ec622b3d580c
hex74a525348cfc

128252642626812 has 96 divisors (see below), whose sum is σ = 327701857593600. Its totient is φ = 38716772224000.

The previous prime is 128252642626807. The next prime is 128252642626819. The reversal of 128252642626812 is 218626246252821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128252642626819) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 450418687 + ... + 450703337.

It is an arithmetic number, because the mean of its divisors is an integer number (3413561016600).

Almost surely, 2128252642626812 is an apocalyptic number.

128252642626812 is a gapful number since it is divisible by the number (12) 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 128252642626812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163850928796800).

128252642626812 is an abundant number, since it is smaller than the sum of its proper divisors (199449214966788).

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

128252642626812 is a wasteful number, since it uses less digits than its factorization.

128252642626812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297627 (or 297625 counting only the distinct ones).

The product of its digits is 17694720, while the sum is 57.

The spelling of 128252642626812 in words is "one hundred twenty-eight trillion, two hundred fifty-two billion, six hundred forty-two million, six hundred twenty-six thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 269 538 807 1076 1614 2959 3228 5918 8877 11836 12689 17754 25378 35508 38067 50756 76134 139579 152268 279158 284651 418737 558316 569302 837474 853953 1138604 1674948 1707906 3131161 3413341 3415812 6262322 6826682 9393483 10240023 12524644 13653364 18786966 20480046 37546751 37573932 40960092 75093502 76571119 112640253 150187004 153142238 225280506 229713357 306284476 450561012 459426714 842282309 918853428 1684564618 2526846927 3369129236 3611936539 5053693854 7223873078 10107387708 10835809617 14447746156 21671619234 39731301929 43343238468 79462603858 119193905787 158925207716 238387811574 476775623148 971610928991 1943221857982 2914832786973 3886443715964 5829665573946 10687720218901 11659331147892 21375440437802 32063160656703 42750880875604 64126321313406 128252642626812