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214875246663072 = 25327118158057319
BaseRepresentation
bin110000110110110110001010…
…101111111001010110100000
31001011210212120101120021212200
4300312312022233321112200
5211131004001121204242
62041000154154053200
763155136631610562
oct6066661257712640
91034725511507780
10214875246663072
1162514097a56386
122012431941a200
1392b88585aa2a8
143b0c035b7d332
1519c95e92bc04c
hexc36d8abf95a0

214875246663072 has 144 divisors (see below), whose sum is σ = 623081376328320. Its totient is φ = 70226131852800.

The previous prime is 214875246663071. The next prime is 214875246663109. The reversal of 214875246663072 is 270366642578412.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (214875246663071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25327572 + ... + 32729747.

It is an arithmetic number, because the mean of its divisors is an integer number (4326954002280).

Almost surely, 2214875246663072 is an apocalyptic number.

It is an amenable number.

214875246663072 is an abundant number, since it is smaller than the sum of its proper divisors (408206129665248).

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

214875246663072 is a wasteful number, since it uses less digits than its factorization.

214875246663072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58057587 (or 58057576 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 214875246663072 in words is "two hundred fourteen trillion, eight hundred seventy-five billion, two hundred forty-six million, six hundred sixty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 142 144 181 213 284 288 362 426 543 568 639 724 852 1086 1136 1278 1448 1629 1704 2172 2272 2556 2896 3258 3408 4344 5112 5792 6516 6816 8688 10224 12851 13032 17376 20448 25702 26064 38553 51404 52128 77106 102808 115659 154212 205616 231318 308424 411232 462636 616848 925272 1233696 1850544 3701088 58057319 116114638 174171957 232229276 348343914 464458552 522515871 696687828 928917104 1045031742 1393375656 1857834208 2090063484 2786751312 4122069649 4180126968 5573502624 8244139298 8360253936 10508374739 12366208947 16488278596 16720507872 21016749478 24732417894 31525124217 32976557192 37098626841 42033498956 49464835788 63050248434 65953114384 74197253682 84066997912 94575372651 98929671576 126100496868 131906228768 148394507364 168133995824 189150745302 197859343152 252200993736 296789014728 336267991648 378301490604 395718686304 504401987472 593578029456 746094606469 756602981208 1008803974944 1187156058912 1492189212938 1513205962416 2238283819407 2984378425876 3026411924832 4476567638814 5968756851752 6714851458221 8953135277628 11937513703504 13429702916442 17906270555256 23875027407008 26859405832884 35812541110512 53718811665768 71625082221024 107437623331536 214875246663072