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73738140144 = 2432775545889
BaseRepresentation
bin100010010101100100…
…0101011100111110000
321001022221022122010120
41010223020223213300
52202003430441034
653512544130240
75220204564264
oct1045310534760
9231287278116
1073738140144
11292aa292099
121235a906980
136c51a333b6
1437d72840a4
151db88acc49
hex112b22b9f0

73738140144 has 40 divisors (see below), whose sum is σ = 191177920080. Its totient is φ = 24490641408.

The previous prime is 73738140107. The next prime is 73738140149. The reversal of 73738140144 is 44104183737.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 73738140096 and 73738140105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73738140149) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2759649 + ... + 2786240.

It is an arithmetic number, because the mean of its divisors is an integer number (4779448002).

Almost surely, 273738140144 is an apocalyptic number.

It is an amenable number.

73738140144 is an abundant number, since it is smaller than the sum of its proper divisors (117439779936).

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

73738140144 is a wasteful number, since it uses less digits than its factorization.

73738140144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5546177 (or 5546171 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 73738140144 in words is "seventy-three billion, seven hundred thirty-eight million, one hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 277 554 831 1108 1662 2216 3324 4432 6648 13296 5545889 11091778 16637667 22183556 33275334 44367112 66550668 88734224 133101336 266202672 1536211253 3072422506 4608633759 6144845012 9217267518 12289690024 18434535036 24579380048 36869070072 73738140144