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73799350272 = 211324003871
BaseRepresentation
bin100010010111011001…
…0001011100000000000
321001111012111102122100
41010232302023200000
52202120113202042
653523012110400
75221550061414
oct1045662134000
9231435442570
1073799350272
112933089a17a
1212377305400
136c616150cb
143801458d44
151dbde4e24c
hex112ec8b800

73799350272 has 72 divisors (see below), whose sum is σ = 213146125920. Its totient is φ = 24599777280.

The previous prime is 73799350217. The next prime is 73799350279. The reversal of 73799350272 is 27205399737.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73799350279) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1983504 + ... + 2020367.

It is an arithmetic number, because the mean of its divisors is an integer number (2960362860).

Almost surely, 273799350272 is an apocalyptic number.

73799350272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

73799350272 is an abundant number, since it is smaller than the sum of its proper divisors (139346775648).

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

73799350272 is a wasteful number, since it uses less digits than its factorization.

73799350272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4003899 (or 4003876 counting only the distinct ones).

The product of its (nonzero) digits is 5000940, while the sum is 54.

The spelling of 73799350272 in words is "seventy-three billion, seven hundred ninety-nine million, three hundred fifty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 18432 4003871 8007742 12011613 16015484 24023226 32030968 36034839 48046452 64061936 72069678 96092904 128123872 144139356 192185808 256247744 288278712 384371616 512495488 576557424 768743232 1024990976 1153114848 1537486464 2049981952 2306229696 3074972928 4099963904 4612459392 6149945856 8199927808 9224918784 12299891712 18449837568 24599783424 36899675136 73799350272