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36048307984 = 2413417953507
BaseRepresentation
bin100001100100101001…
…011000011100010000
310110001021020210010221
4201210221120130100
51042311331323414
624321012202424
72414211363553
oct414451303420
9113037223127
1036048307984
111431936a377
126ba0609414
133526476070
141a5d83069a
15e0eb05224
hex864a58710

36048307984 has 80 divisors (see below), whose sum is σ = 78027505920. Its totient is φ = 16026117120.

The previous prime is 36048307979. The next prime is 36048307993. The reversal of 36048307984 is 48970384063.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 646959 + ... + 700465.

It is an arithmetic number, because the mean of its divisors is an integer number (975343824).

Almost surely, 236048307984 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 36048307984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39013752960).

36048307984 is an abundant number, since it is smaller than the sum of its proper divisors (41979197936).

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

36048307984 is a wasteful number, since it uses less digits than its factorization.

36048307984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53648 (or 53642 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 36048307984 in words is "thirty-six billion, forty-eight million, three hundred seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 41 52 79 82 104 158 164 208 316 328 533 632 656 1027 1066 1264 2054 2132 3239 4108 4264 6478 8216 8528 12956 16432 25912 42107 51824 53507 84214 107014 168428 214028 336856 428056 673712 695591 856112 1391182 2193787 2782364 4227053 4387574 5564728 8454106 8775148 11129456 16908212 17550296 28519231 33816424 35100592 54951689 57038462 67632848 109903378 114076924 173309173 219806756 228153848 346618346 439613512 456307696 693236692 879227024 1386473384 2253019249 2772946768 4506038498 9012076996 18024153992 36048307984