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86393654028 = 223311184739373
BaseRepresentation
bin101000001110101110…
…1101000101100001100
322020222220220100111000
41100131131220230030
52403413233412103
6103404431500300
76145625641233
oct1203535505414
9266886810430
1086393654028
1133703a68a80
12148b1087690
1381ba92c856
144277d79b1a
1523a9964aa3
hex141d768b0c

86393654028 has 96 divisors (see below), whose sum is σ = 244484190720. Its totient is φ = 26165056320.

The previous prime is 86393653963. The next prime is 86393654069. The reversal of 86393654028 is 82045639368.

86393654028 is a `hidden beast` number, since 8 + 6 + 3 + 93 + 6 + 540 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 2174550 + ... + 2213922.

It is an arithmetic number, because the mean of its divisors is an integer number (2546710320).

Almost surely, 286393654028 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 86393654028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122242095360).

86393654028 is an abundant number, since it is smaller than the sum of its proper divisors (158090536692).

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

86393654028 is a wasteful number, since it uses less digits than its factorization.

86393654028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41244 (or 41236 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 86393654028 in words is "eighty-six billion, three hundred ninety-three million, six hundred fifty-four thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 1847 3694 5541 7388 11082 16623 20317 22164 33246 39373 40634 49869 60951 66492 78746 81268 99738 118119 121902 157492 182853 199476 236238 243804 354357 365706 433103 472476 548559 708714 731412 866206 1063071 1097118 1299309 1417428 1732412 2126142 2194236 2598618 3897927 4252284 5197236 7795854 11693781 15591708 23387562 46775124 72721931 145443862 218165793 290887724 436331586 654497379 799941241 872663172 1308994758 1599882482 1963492137 2399823723 2617989516 3199764964 3926984274 4799647446 7199471169 7853968548 9599294892 14398942338 21598413507 28797884676 43196827014 86393654028