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534750681998880 = 253251939371914821
BaseRepresentation
bin111100110010110100101100…
…0011100011010011000100000
32121010101122222110120210210100
41321211221120130122120200
51030042323344042431010
65133153023311302400
7220431314256305364
oct17145513034323040
92533348873523710
10534750681998880
1114542a544080a76
124bb8632151aa00
1319c4ca081b4039
14960a0dd18b2a4
1541c515bde82c0
hex1e65a5871a620

534750681998880 has 144 divisors (see below), whose sum is σ = 1824847064762904. Its totient is φ = 142599372103680.

The previous prime is 534750681998837. The next prime is 534750681998933. The reversal of 534750681998880 is 88899186057435.

534750681998880 is a `hidden beast` number, since 5 + 3 + 4 + 7 + 506 + 8 + 19 + 98 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 525271943491344 + 9478738507536 = 22918812^2 + 3078756^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 534750681998880.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278311870 + ... + 280226690.

Almost surely, 2534750681998880 is an apocalyptic number.

It is an amenable number.

534750681998880 is an abundant number, since it is smaller than the sum of its proper divisors (1290096382764024).

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

534750681998880 is a wasteful number, since it uses less digits than its factorization.

534750681998880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108779 (or 2108768 counting only the distinct ones).

The product of its (nonzero) digits is 4180377600, while the sum is 81.

The spelling of 534750681998880 in words is "five hundred thirty-four trillion, seven hundred fifty billion, six hundred eighty-one million, nine hundred ninety-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 193937 387874 581811 775748 969685 1163622 1551496 1745433 1914821 1939370 2327244 2909055 3102992 3490866 3829642 3878740 4654488 5744463 5818110 6205984 6981732 7659284 7757480 8727165 9308976 9574105 11488926 11636220 13963464 15318568 15514960 17233389 17454330 18617952 19148210 22977852 23272440 27926928 28722315 30637136 31029920 34466778 34908660 38296420 45955704 46544880 55853856 57444630 61274272 68933556 69817320 76592840 86166945 91911408 93089760 114889260 137867112 139634640 153185680 172333890 183822816 229778520 275734224 279269280 306371360 344667780 459557040 551468448 689335560 919114080 1378671120 2757342240 371354640277 742709280554 1114063920831 1485418561108 1856773201385 2228127841662 2970837122216 3342191762493 3713546402770 4456255683324 5570319604155 5941674244432 6684383524986 7427092805540 8912511366648 11140639208310 11883348488864 13368767049972 14854185611080 16710958812465 17825022733296 22281278416620 26737534099944 29708371222160 33421917624930 35650045466592 44562556833240 53475068199888 59416742444320 66843835249860 89125113666480 106950136399776 133687670499720 178250227332960 267375340999440 534750681998880