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86049151668 = 223217140603189
BaseRepresentation
bin101000000100011101…
…1011101101010110100
322020002220122211002100
41100020323131222310
52402212040323133
6103310323542100
76134243502204
oct1201073355264
9266086584070
1086049151668
1133547559287
121481582a930
13816444cabc
144244300404
1523895b4e13
hex1408eddab4

86049151668 has 36 divisors (see below), whose sum is σ = 230308025220. Its totient is φ = 26995812096.

The previous prime is 86049151663. The next prime is 86049151679. The reversal of 86049151668 is 86615194068.

86049151668 is a `hidden beast` number, since 8 + 60 + 4 + 9 + 1 + 516 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33011982864 + 53037168804 = 181692^2 + 230298^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86049151663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70300983 + ... + 70302206.

It is an arithmetic number, because the mean of its divisors is an integer number (6397445145).

Almost surely, 286049151668 is an apocalyptic number.

It is an amenable number.

86049151668 is an abundant number, since it is smaller than the sum of its proper divisors (144258873552).

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

86049151668 is a wasteful number, since it uses less digits than its factorization.

86049151668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140603216 (or 140603211 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 86049151668 in words is "eighty-six billion, forty-nine million, one hundred fifty-one thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 140603189 281206378 421809567 562412756 843619134 1265428701 1687238268 2390254213 2530857402 4780508426 5061714804 7170762639 9561016852 14341525278 21512287917 28683050556 43024575834 86049151668