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38923699382928 = 2433367245507237
BaseRepresentation
bin10001101100110101000010…
…10001100110101010010000
312002211001212112102122012000
420312122201101212222100
520100211214020223203
6214441144534434000
711125100361540033
oct1066324121465220
9162731775378160
1038923699382928
11114474a2621268
124447810202900
131894648732bc9
14987cba75701a
15477764b7a4a3
hex2366a1466a90

38923699382928 has 80 divisors (see below), whose sum is σ = 112029862844160. Its totient is φ = 12939213366144.

The previous prime is 38923699382891. The next prime is 38923699382959. The reversal of 38923699382928 is 82928399632983.

38923699382928 is a `hidden beast` number, since 3 + 8 + 9 + 2 + 369 + 93 + 82 + 92 + 8 = 666.

It is a super-3 number, since 3×389236993829283 (a number of 42 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122595075 + ... + 122912162.

It is an arithmetic number, because the mean of its divisors is an integer number (1400373285552).

Almost surely, 238923699382928 is an apocalyptic number.

It is an amenable number.

38923699382928 is an abundant number, since it is smaller than the sum of its proper divisors (73106163461232).

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

38923699382928 is a wasteful number, since it uses less digits than its factorization.

38923699382928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245507621 (or 245507609 counting only the distinct ones).

The product of its digits is 4353564672, while the sum is 81.

The spelling of 38923699382928 in words is "thirty-eight trillion, nine hundred twenty-three billion, six hundred ninety-nine million, three hundred eighty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 367 432 734 1101 1468 2202 2936 3303 4404 5872 6606 8808 9909 13212 17616 19818 26424 39636 52848 79272 158544 245507237 491014474 736521711 982028948 1473043422 1964057896 2209565133 2946086844 3928115792 4419130266 5892173688 6628695399 8838260532 11784347376 13257390798 17676521064 26514781596 35353042128 53029563192 90101155979 106059126384 180202311958 270303467937 360404623916 540606935874 720809247832 810910403811 1081213871748 1441618495664 1621820807622 2162427743496 2432731211433 3243641615244 4324855486992 4865462422866 6487283230488 9730924845732 12974566460976 19461849691464 38923699382928