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74309751072 = 2532160632
BaseRepresentation
bin100010100110100110…
…1001101000100100000
321002210202220110220200
41011031031031010200
52204141244013242
654045403505200
75240315314404
oct1051515150440
9232722813820
1074309751072
1129572a0a917
121249a228200
13701329c30b
14384d15b104
151dedb6e04c
hex114d34d120

74309751072 has 54 divisors (see below), whose sum is σ = 211331511027. Its totient is φ = 24768374976.

The previous prime is 74309751053. The next prime is 74309751077. The reversal of 74309751072 is 27015790347.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

74309751072 is a `hidden beast` number, since 7 + 43 + 0 + 97 + 510 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37154875536 + 37154875536 = 192756^2 + 192756^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=192756.

It is not an unprimeable number, because it can be changed into a prime (74309751077) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4618113 + ... + 4634175.

Almost surely, 274309751072 is an apocalyptic number.

74309751072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

74309751072 is an abundant number, since it is smaller than the sum of its proper divisors (137021759955).

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

74309751072 is an frugal number, since it uses more digits than its factorization.

74309751072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32142 (or 16068 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 74309751072 in words is "seventy-four billion, three hundred nine million, seven hundred fifty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 16063 32126 48189 64252 96378 128504 144567 192756 257008 289134 385512 514016 578268 771024 1156536 1542048 2313072 4626144 258019969 516039938 774059907 1032079876 1548119814 2064159752 2322179721 3096239628 4128319504 4644359442 6192479256 8256639008 9288718884 12384958512 18577437768 24769917024 37154875536 74309751072