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182464238112 = 25313223488981
BaseRepresentation
bin1010100111101110110…
…1110101001000100000
3122102222020122200102220
42221323231311020200
510442141321104422
6215453425511040
716116430301532
oct2517355651040
9572866580386
10182464238112
117042333a802
122b442aa2480
131428b332200
148b8d1bb852
154b2dc1ce5c
hex2a7bb75220

182464238112 has 144 divisors (see below), whose sum is σ = 541197453888. Its totient is φ = 53701739520.

The previous prime is 182464238093. The next prime is 182464238147. The reversal of 182464238112 is 211832464281.

182464238112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 128662 + ... + 617642.

It is an arithmetic number, because the mean of its divisors is an integer number (3758315652).

Almost surely, 2182464238112 is an apocalyptic number.

182464238112 is a gapful number since it is divisible by the number (12) 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 182464238112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270598726944).

182464238112 is an abundant number, since it is smaller than the sum of its proper divisors (358733215776).

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

182464238112 is a wasteful number, since it uses less digits than its factorization.

182464238112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489043 (or 489022 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The spelling of 182464238112 in words is "one hundred eighty-two billion, four hundred sixty-four million, two hundred thirty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 69 78 92 96 104 138 156 169 184 208 276 299 312 338 368 416 507 552 598 624 676 736 897 1014 1104 1196 1248 1352 1794 2028 2208 2392 2704 3588 3887 4056 4784 5408 7176 7774 8112 9568 11661 14352 15548 16224 23322 28704 31096 46644 62192 93288 124384 186576 373152 488981 977962 1466943 1955924 2933886 3911848 5867772 6356753 7823696 11246563 11735544 12713506 15647392 19070259 22493126 23471088 25427012 33739689 38140518 44986252 46942176 50854024 67479378 76281036 82637789 89972504 101708048 134958756 146205319 152562072 165275578 179945008 203416096 247913367 269917512 292410638 305124144 330551156 359890016 438615957 495826734 539835024 584821276 610248288 661102312 877231914 991653468 1079670048 1169642552 1322204624 1754463828 1900669147 1983306936 2339285104 2644409248 3508927656 3801338294 3966613872 4678570208 5702007441 7017855312 7602676588 7933227744 11404014882 14035710624 15205353176 22808029764 30410706352 45616059528 60821412704 91232119056 182464238112