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86750648172 = 223219919138007
BaseRepresentation
bin101000011001010111…
…1011101011101101100
322021220210122112101100
41100302233131131230
52410131131220142
6103504103243100
76160522225416
oct1206257353554
9267823575340
1086750648172
113387752aa61
1214990749490
1382468943a6
1442ad5479b6
1523cae80b4c
hex1432bdd76c

86750648172 has 72 divisors (see below), whose sum is σ = 231080595200. Its totient is φ = 27364933728.

The previous prime is 86750648161. The next prime is 86750648183. The reversal of 86750648172 is 27184605768.

86750648172 is a `hidden beast` number, since 8 + 67 + 506 + 4 + 8 + 1 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (86750648161) and next prime (86750648183).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 559593 + ... + 697599.

Almost surely, 286750648172 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 86750648172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115540297600).

86750648172 is an abundant number, since it is smaller than the sum of its proper divisors (144329947028).

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

86750648172 is a wasteful number, since it uses less digits than its factorization.

86750648172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138955 (or 138950 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 86750648172 in words is "eighty-six billion, seven hundred fifty million, six hundred forty-eight thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 919 1838 2757 3676 5514 8271 11028 16542 17461 33084 34922 52383 69844 104766 138007 157149 209532 276014 314298 414021 552028 628596 828042 1242063 1656084 2484126 2622133 4968252 5244266 7866399 10488532 15732798 23599197 31465596 47198394 94396788 126828433 253656866 380485299 507313732 760970598 1141455897 1521941196 2282911794 2409740227 4565823588 4819480454 7229220681 9638960908 14458441362 21687662043 28916882724 43375324086 86750648172