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45328308168 = 233111331914139
BaseRepresentation
bin101010001101110001…
…110001011111001000
311100000000012122012110
4222031301301133020
51220313021330133
632453514542320
73163164155643
oct521561613710
9140000178173
1045328308168
1118250714910
1289504379a0
134374c40b30
1422a00d0a5a
1512a468ec63
hexa8dc717c8

45328308168 has 128 divisors (see below), whose sum is σ = 133205990400. Its totient is φ = 12672211200.

The previous prime is 45328308163. The next prime is 45328308169. The reversal of 45328308168 is 86180382354.

45328308168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45328308163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10949443 + ... + 10953581.

It is an arithmetic number, because the mean of its divisors is an integer number (1040671800).

Almost surely, 245328308168 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 45328308168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66602995200).

45328308168 is an abundant number, since it is smaller than the sum of its proper divisors (87877682232).

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

45328308168 is a wasteful number, since it uses less digits than its factorization.

45328308168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7363 (or 7359 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 45328308168 in words is "forty-five billion, three hundred twenty-eight million, three hundred eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3191 3432 4139 6382 8278 9573 12417 12764 16556 19146 24834 25528 33112 35101 38292 41483 45529 49668 53807 70202 76584 82966 91058 99336 105303 107614 124449 136587 140404 161421 165932 182116 210606 215228 248898 273174 280808 322842 331864 364232 421212 430456 456313 497796 546348 591877 645684 842424 912626 995592 1092696 1183754 1291368 1368939 1775631 1825252 2367508 2737878 3551262 3650504 4735016 5475756 7102524 10951512 13207549 14205048 26415098 39622647 52830196 79245294 105660392 145283039 158490588 171698137 290566078 316981176 343396274 435849117 515094411 581132156 686792548 871698234 1030188822 1162264312 1373585096 1743396468 1888679507 2060377644 3486792936 3777359014 4120755288 5666038521 7554718028 11332077042 15109436056 22664154084 45328308168