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119079808128 = 273433892
BaseRepresentation
bin110111011100110110…
…1011010110010000000
3102101100212200000120000
41232321231122302000
53422333412330003
6130412101320000
711413623445161
oct1567155326200
9371325600500
10119079808128
11465574a1376
121b0b3706000
13b2c9671138
145a99051768
15316e2db1a3
hex1bb9b5ac80

119079808128 has 120 divisors (see below), whose sum is σ = 354484177905. Its totient is φ = 39681556992.

The previous prime is 119079808117. The next prime is 119079808171. The reversal of 119079808128 is 821808970911.

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.

It can be written as a sum of positive squares in 2 ways, for example, as 79618780224 + 39461027904 = 282168^2 + 198648^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=244008.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 14 ways as a sum of consecutive naturals, for example, 35135458 + ... + 35138846.

Almost surely, 2119079808128 is an apocalyptic number.

119079808128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119079808128

119079808128 is an abundant number, since it is smaller than the sum of its proper divisors (235404369777).

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

119079808128 is an frugal number, since it uses more digits than its factorization.

119079808128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6804 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 54.

The spelling of 119079808128 in words is "one hundred nineteen billion, seventy-nine million, eight hundred eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3389 3456 5184 6778 10167 10368 13556 20334 27112 30501 40668 54224 61002 81336 91503 108448 122004 162672 183006 216896 244008 274509 325344 366012 433792 488016 549018 650688 732024 976032 1098036 1301376 1464048 1952064 2196072 2928096 3904128 4392144 5856192 8784288 11485321 11712384 17568576 22970642 34455963 35137152 45941284 68911926 91882568 103367889 137823852 183765136 206735778 275647704 310103667 367530272 413471556 551295408 620207334 735060544 826943112 930311001 1102590816 1240414668 1470121088 1653886224 1860622002 2205181632 2480829336 3307772448 3721244004 4410363264 4961658672 6615544896 7442488008 9923317344 13231089792 14884976016 19846634688 29769952032 39693269376 59539904064 119079808128