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118005980032 = 272389450377
BaseRepresentation
bin110110111100110110…
…1000101101110000000
3102021121001001220100001
41231321231011232000
53413134012330112
6130113341405344
711345204165053
oct1557155055600
9367531056301
10118005980032
1146056332436
121aa53b69854
13b188054bb5
1459d65a6a9a
153109dc4c57
hex1b79b45b80

118005980032 has 64 divisors (see below), whose sum is σ = 248068202400. Its totient is φ = 55803387904.

The previous prime is 118005980023. The next prime is 118005980039. The reversal of 118005980032 is 230089500811.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1180059800322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 118005979973 and 118005980000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118005980039) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 36828 + ... + 487204.

Almost surely, 2118005980032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118005980032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124034101200).

118005980032 is an abundant number, since it is smaller than the sum of its proper divisors (130062222368).

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

118005980032 is an equidigital number, since it uses as much as digits as its factorization.

118005980032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450503 (or 450491 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The spelling of 118005980032 in words is "one hundred eighteen billion, five million, nine hundred eighty thousand, thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 89 92 128 178 184 356 368 712 736 1424 1472 2047 2848 2944 4094 5696 8188 11392 16376 32752 65504 131008 262016 450377 900754 1801508 3603016 7206032 10358671 14412064 20717342 28824128 40083553 41434684 57648256 80167106 82869368 160334212 165738736 320668424 331477472 641336848 662954944 921921719 1282673696 1325909888 1843843438 2565347392 3687686876 5130694784 7375373752 14750747504 29501495008 59002990016 118005980032