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32000076000045 = 3251038638000009
BaseRepresentation
bin1110100011010100110010…
…01010011010101100101101
311012022011210022112210220200
413101222121022122230231
513143242123424000140
6152020344301104113
76511633500030606
oct721523112325455
9135264708483820
1032000076000045
11a21817973089a
1237099b4858039
1314b179566315a
147c8b51d80dad
153a75de7ba030
hex1d1a9929ab2d

32000076000045 has 48 divisors (see below), whose sum is σ = 56070214087680. Its totient is φ = 16881424881408.

The previous prime is 32000076000031. The next prime is 32000076000049. The reversal of 32000076000045 is 54000067000023.

It is a happy number.

32000076000045 is a nontrivial binomial coefficient, being equal to C(8000010, 2).

It is not a de Polignac number, because 32000076000045 - 26 = 32000075999981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32000075999982 and 32000076000018.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32000076000049) 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 47 ways as a sum of consecutive naturals, for example, 1 + ... + 8000009.

It is an arithmetic number, because the mean of its divisors is an integer number (1168129460160).

Almost surely, 232000076000045 is an apocalyptic number.

32000076000045 is the 8000009-th triangular number and also the 4000005-th hexagonal number.

It is an amenable number.

32000076000045 is a deficient number, since it is larger than the sum of its proper divisors (24070138087635).

32000076000045 is a wasteful number, since it uses less digits than its factorization.

32000076000045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8000986 (or 8000983 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 32000076000045 in words is "thirty-two trillion, seventy-six million, forty-five", and thus it is an aban number and an uban number.

Divisors: 1 3 5 9 15 45 103 309 515 863 927 1545 2589 4315 4635 7767 12945 38835 88889 266667 444445 800001 1333335 4000005 8000009 24000027 40000045 72000081 120000135 360000405 824000927 2472002781 4120004635 6904007767 7416008343 12360013905 20712023301 34520038835 37080041715 62136069903 103560116505 310680349515 711112800001 2133338400003 3555564000005 6400015200009 10666692000015 32000076000045