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86385359970 = 232572131506809
BaseRepresentation
bin101000001110011110…
…1111111110001100010
322020222100021222011200
41100130331333301202
52403404123004340
6103403534022030
76145465305300
oct1203475776142
9266870258150
1086385359970
11336aa313588
12148aa347916
1381b8cb7620
144276c1b270
1523a8d77330
hex141cf7fc62

86385359970 has 144 divisors (see below), whose sum is σ = 281369644920. Its totient is φ = 18226349568.

The previous prime is 86385359873. The next prime is 86385359987. The reversal of 86385359970 is 7995358368.

86385359970 is a `hidden beast` number, since 8 + 6 + 3 + 8 + 535 + 9 + 97 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 61373621169 + 25011738801 = 247737^2 + 158151^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 86385359898 and 86385359907.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 696075 + ... + 810734.

Almost surely, 286385359970 is an apocalyptic number.

86385359970 is an abundant number, since it is smaller than the sum of its proper divisors (194984284950).

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

86385359970 is a wasteful number, since it uses less digits than its factorization.

86385359970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506849 (or 1506839 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 86385359970 in words is "eighty-six billion, three hundred eighty-five million, three hundred fifty-nine thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 49 63 65 70 78 90 91 98 105 117 126 130 147 182 195 210 234 245 273 294 315 390 441 455 490 546 585 630 637 735 819 882 910 1170 1274 1365 1470 1638 1911 2205 2730 3185 3822 4095 4410 5733 6370 8190 9555 11466 19110 28665 57330 1506809 3013618 4520427 7534045 9040854 10547663 13561281 15068090 19588517 21095326 22602135 27122562 31642989 39177034 45204270 52738315 58765551 63285978 67806405 73833641 94928967 97942585 105476630 117531102 135612810 137119619 147667282 158214945 176296653 189857934 195885170 221500923 274239238 293827755 316429890 352593306 369168205 411358857 443001846 474644835 587655510 664502769 685598095 738336410 822717714 881483265 949289670 959837333 1107504615 1234076571 1329005538 1371196190 1762966530 1919674666 2056794285 2215009230 2468153142 2879511999 3322513845 4113588570 4799186665 5759023998 6170382855 6645027690 8638535997 9598373330 12340765710 14397559995 17277071994 28795119990 43192679985 86385359970