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43538004768 = 2531726677699
BaseRepresentation
bin101000100011000100…
…010011101100100000
311011101020102210122010
4220203010103230200
51203131212123033
632000122312520
73100624635336
oct504304235440
9134336383563
1043538004768
1117512083425
128530958740
13414b0674cb
14217041db56
1511ec3ee863
hexa23113b20

43538004768 has 48 divisors (see below), whose sum is σ = 121010047200. Its totient is φ = 13658981376.

The previous prime is 43538004739. The next prime is 43538004791. The reversal of 43538004768 is 86740083534.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 13337218 + ... + 13340481.

It is an arithmetic number, because the mean of its divisors is an integer number (2521042650).

Almost surely, 243538004768 is an apocalyptic number.

43538004768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

43538004768 is an abundant number, since it is smaller than the sum of its proper divisors (77472042432).

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

43538004768 is a wasteful number, since it uses less digits than its factorization.

43538004768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26677729 (or 26677721 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 43538004768 in words is "forty-three billion, five hundred thirty-eight million, four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 26677699 53355398 80033097 106710796 160066194 213421592 320132388 426843184 453520883 640264776 853686368 907041766 1280529552 1360562649 1814083532 2561059104 2721125298 3628167064 5442250596 7256334128 10884501192 14512668256 21769002384 43538004768