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84165393780 = 2232513137262541
BaseRepresentation
bin100111001100010100…
…1011111110101110100
322001020122001000001200
41032120221133311310
52334332320100110
6102355352252500
76036461020536
oct1163051376564
9261218030050
1084165393780
1132770197086
121438a9a1130
137c240b5070
144106063856
1522c90146c0
hex1398a5fd74

84165393780 has 144 divisors (see below), whose sum is σ = 276948204624. Its totient is φ = 20566333440.

The previous prime is 84165393761. The next prime is 84165393821. The reversal of 84165393780 is 8739356148.

84165393780 is a `hidden beast` number, since 84 + 165 + 39 + 378 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9803376144 + 74362017636 = 99012^2 + 272694^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189310 + ... + 451850.

It is an arithmetic number, because the mean of its divisors is an integer number (1923251421).

Almost surely, 284165393780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84165393780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138474102312).

84165393780 is an abundant number, since it is smaller than the sum of its proper divisors (192782810844).

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

84165393780 is a wasteful number, since it uses less digits than its factorization.

84165393780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262706 (or 262701 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 84165393780 in words is "eighty-four billion, one hundred sixty-five million, three hundred ninety-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 137 156 180 195 234 260 274 390 411 468 548 585 685 780 822 1170 1233 1370 1644 1781 2055 2340 2466 2740 3562 4110 4932 5343 6165 7124 8220 8905 10686 12330 16029 17810 21372 24660 26715 32058 35620 53430 64116 80145 106860 160290 262541 320580 525082 787623 1050164 1312705 1575246 2362869 2625410 3150492 3413033 3938115 4725738 5250820 6826066 7876230 9451476 10239099 11814345 13652132 15752460 17065165 20478198 23628690 30717297 34130330 35968117 40956396 47257380 51195495 61434594 68260660 71936234 102390990 107904351 122869188 143872468 153586485 179840585 204781980 215808702 307172970 323713053 359681170 431617404 467585521 539521755 614345940 647426106 719362340 935171042 1079043510 1294852212 1402756563 1618565265 1870342084 2158087020 2337927605 2805513126 3237130530 4208269689 4675855210 5611026252 6474261060 7013782815 8416539378 9351710420 14027565630 16833078756 21041348445 28055131260 42082696890 84165393780