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118055462464 = 2629214812
BaseRepresentation
bin110110111110010100…
…1110110011001000000
3102021201111011212110201
41231330221312121000
53413234144244324
6130122310134544
711346344605522
oct1557451663100
9367644155421
10118055462464
114608125a305
121aa68651454
13b19538b844
1459dcda7a12
15310e3eb444
hex1b7ca76640

118055462464 has 63 divisors (see below), whose sum is σ = 242786948131. Its totient is φ = 56953809920.

The previous prime is 118055462359. The next prime is 118055462509. The reversal of 118055462464 is 464264550811.

The square root of 118055462464 is 343592.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 269222464 + 117786240000 = 16408^2 + 343200^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 79712604 + ... + 79714084.

Almost surely, 2118055462464 is an apocalyptic number.

118055462464 is the 343592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118055462464

118055462464 is an abundant number, since it is smaller than the sum of its proper divisors (124731485667).

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

118055462464 is an frugal number, since it uses more digits than its factorization.

118055462464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3032 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 46.

The spelling of 118055462464 in words is "one hundred eighteen billion, fifty-five million, four hundred sixty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 841 928 1481 1682 1856 2962 3364 5924 6728 11848 13456 23696 26912 42949 47392 53824 85898 94784 171796 343592 687184 1245521 1374368 2193361 2491042 2748736 4386722 4982084 8773444 9964168 17546888 19928336 35093776 39856672 63607469 70187552 79713344 127214938 140375104 254429876 508859752 1017719504 1844616601 2035439008 3689233202 4070878016 7378466404 14756932808 29513865616 59027731232 118055462464