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39433104096 = 2533153250007
BaseRepresentation
bin100100101110011001…
…010110101011100000
310202210011100020111220
4210232121112223200
51121224333312341
630040524135040
72564121566031
oct445631265340
9122704306456
1039433104096
11157a5a60831
127786097480
1339457a77b9
141ca11a0a88
15105bd57a66
hex92e656ae0

39433104096 has 96 divisors (see below), whose sum is σ = 108867483648. Its totient is φ = 12480299520.

The previous prime is 39433104079. The next prime is 39433104121. The reversal of 39433104096 is 69040133493.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32725 + ... + 282731.

It is an arithmetic number, because the mean of its divisors is an integer number (1134036288).

Almost surely, 239433104096 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 39433104096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54433741824).

39433104096 is an abundant number, since it is smaller than the sum of its proper divisors (69434379552).

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

39433104096 is a wasteful number, since it uses less digits than its factorization.

39433104096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250104 (or 250096 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 42.

The spelling of 39433104096 in words is "thirty-nine billion, four hundred thirty-three million, one hundred four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 53 62 93 96 106 124 159 186 212 248 318 372 424 496 636 744 848 992 1272 1488 1643 1696 2544 2976 3286 4929 5088 6572 9858 13144 19716 26288 39432 52576 78864 157728 250007 500014 750021 1000028 1500042 2000056 3000084 4000112 6000168 7750217 8000224 12000336 13250371 15500434 23250651 24000672 26500742 31000868 39751113 46501302 53001484 62001736 79502226 93002604 106002968 124003472 159004452 186005208 212005936 248006944 318008904 372010416 410761501 424011872 636017808 744020832 821523002 1232284503 1272035616 1643046004 2464569006 3286092008 4929138012 6572184016 9858276024 13144368032 19716552048 39433104096