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86355913672 = 23719683118831
BaseRepresentation
bin101000001101100110…
…1101010101111001000
322020220021212221110001
41100123031222233020
52403324103214142
6103401002532344
76144660104110
oct1203315525710
9266807787401
1086355913672
11336947310a6
12148a05070b4
1381b2b77692
144272d54040
1523a64ac5b7
hex141b36abc8

86355913672 has 64 divisors (see below), whose sum is σ = 195074611200. Its totient is φ = 35010169920.

The previous prime is 86355913661. The next prime is 86355913673. The reversal of 86355913672 is 27631955368.

It is a super-2 number, since 2×863559136722 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86355913673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 667297 + ... + 786127.

It is an arithmetic number, because the mean of its divisors is an integer number (3048040800).

Almost surely, 286355913672 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 86355913672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97537305600).

86355913672 is an abundant number, since it is smaller than the sum of its proper divisors (108718697528).

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

86355913672 is a wasteful number, since it uses less digits than its factorization.

86355913672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119546 (or 119542 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 55.

The spelling of 86355913672 in words is "eighty-six billion, three hundred fifty-five million, nine hundred thirteen thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 683 1064 1366 2732 4781 5464 9562 12977 19124 25954 38248 51908 90839 103816 118831 181678 237662 363356 475324 726712 831817 950648 1663634 2257789 3327268 4515578 6654536 9031156 15804523 18062312 31609046 63218092 81161573 126436184 162323146 324646292 568131011 649292584 1136262022 1542069887 2272524044 3084139774 4545048088 6168279548 10794489209 12336559096 21588978418 43177956836 86355913672