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663970407291520 = 2757197800404221
BaseRepresentation
bin1001011011111000001010100…
…0010001001001101010000000
310020001220221200022002001011121
42112332002220101021222000
51144011442343231312040
610312051443314322024
7256566164442444010
oct22676025021115200
93201827608061147
10663970407291520
1118261a2a527484a
1262575ab5b89314
13226641aa2b3b44
14b9d64a69dbc40
1551b65d9c55c4a
hex25be0a8449a80

663970407291520 has 128 divisors (see below), whose sum is σ = 1909538953545600. Its totient is φ = 215665575874560.

The previous prime is 663970407291461. The next prime is 663970407291553. The reversal of 663970407291520 is 25192704079366.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 3900116991 + ... + 3900287230.

It is an arithmetic number, because the mean of its divisors is an integer number (14918273074575).

Almost surely, 2663970407291520 is an apocalyptic number.

It is an amenable number.

663970407291520 is an abundant number, since it is smaller than the sum of its proper divisors (1245568546254080).

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

663970407291520 is a wasteful number, since it uses less digits than its factorization.

663970407291520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7800404266 (or 7800404254 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 61.

The spelling of 663970407291520 in words is "six hundred sixty-three trillion, nine hundred seventy billion, four hundred seven million, two hundred ninety-one thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 128 133 140 152 160 190 224 266 280 304 320 380 448 532 560 608 640 665 760 896 1064 1120 1216 1330 1520 2128 2240 2432 2660 3040 4256 4480 5320 6080 8512 10640 12160 17024 21280 42560 85120 7800404221 15600808442 31201616884 39002021105 54602829547 62403233768 78004042210 109205659094 124806467536 148207680199 156008084420 218411318188 249612935072 273014147735 296415360398 312016168840 436822636376 499225870144 546028295470 592830720796 624032337680 741038400995 873645272752 998451740288 1037453761393 1092056590940 1185661441592 1248064675360 1482076801990 1747290545504 2074907522786 2184113181880 2371322883184 2496129350720 2964153603980 3494581091008 4149815045572 4368226363760 4742645766368 4992258701440 5187268806965 5928307207960 6989162182016 8299630091144 8736452727520 9485291532736 10374537613930 11856614415920 16599260182288 17472905455040 18970583065472 20749075227860 23713228831840 33198520364576 34945810910080 41498150455720 47426457663680 66397040729152 82996300911440 94852915327360 132794081458304 165992601822880 331985203645760 663970407291520