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65702020050 = 23452101160621
BaseRepresentation
bin111101001100001001…
…010100001111010010
320021120212221102210000
4331030021110033102
52034024204120200
650103314150430
74514104645602
oct751411241722
9207525842700
1065702020050
1125956094127
1210897582416
136270b84754
143273c96c02
151a9812a300
hexf4c2543d2

65702020050 has 120 divisors (see below), whose sum is σ = 184362895332. Its totient is φ = 17346960000.

The previous prime is 65702020037. The next prime is 65702020067. The reversal of 65702020050 is 5002020756.

65702020050 is a `hidden beast` number, since 6 + 570 + 20 + 20 + 0 + 50 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 36862848009 + 28839172041 = 191997^2 + 169821^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 65702019996 and 65702020023.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 328740 + ... + 489360.

Almost surely, 265702020050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65702020050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92181447666).

65702020050 is an abundant number, since it is smaller than the sum of its proper divisors (118660875282).

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

65702020050 is a wasteful number, since it uses less digits than its factorization.

65702020050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160746 (or 160732 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The spelling of 65702020050 in words is "sixty-five billion, seven hundred two million, twenty thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 101 135 150 162 202 225 270 303 405 450 505 606 675 810 909 1010 1350 1515 1818 2025 2525 2727 3030 4050 4545 5050 5454 7575 8181 9090 13635 15150 16362 22725 27270 40905 45450 68175 81810 136350 160621 204525 321242 409050 481863 803105 963726 1445589 1606210 2409315 2891178 4015525 4336767 4818630 7227945 8031050 8673534 12046575 13010301 14455890 16222721 21683835 24093150 26020602 32445442 36139725 43367670 48668163 65051505 72279450 81113605 97336326 108419175 130103010 146004489 162227210 216838350 243340815 292008978 325257525 405568025 438013467 486681630 650515050 730022445 811136050 876026934 1216704075 1314040401 1460044890 2190067335 2433408150 2628080802 3650112225 4380134670 6570202005 7300224450 10950336675 13140404010 21900673350 32851010025 65702020050