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68186085732 = 22324377356983
BaseRepresentation
bin111111100000001101…
…010001100101100100
320112000000011001021200
4333200031101211210
52104121114220412
651154012242500
74632500110602
oct774015214544
9215000131250
1068186085732
1126a102a4476
121126b470430
1365786c51bb
14342bb5a872
151b912599dc
hexfe0351964

68186085732 has 72 divisors (see below), whose sum is σ = 176598886464. Its totient is φ = 22171012416.

The previous prime is 68186085727. The next prime is 68186085739. The reversal of 68186085732 is 23758068186.

68186085732 is a `hidden beast` number, since 6 + 8 + 1 + 8 + 60 + 8 + 573 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (68186085739) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1168113 + ... + 1225095.

It is an arithmetic number, because the mean of its divisors is an integer number (2452762312).

Almost surely, 268186085732 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 68186085732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88299443232).

68186085732 is an abundant number, since it is smaller than the sum of its proper divisors (108412800732).

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

68186085732 is a wasteful number, since it uses less digits than its factorization.

68186085732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57809 (or 57804 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 68186085732 in words is "sixty-eight billion, one hundred eighty-six million, eighty-five thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 773 774 1546 1548 2319 3092 4638 6957 9276 13914 27828 33239 56983 66478 99717 113966 132956 170949 199434 227932 299151 341898 398868 512847 598302 683796 1025694 1196604 2051388 2450269 4900538 7350807 9801076 14701614 22052421 29403228 44047859 44104842 88095718 88209684 132143577 176191436 264287154 396430731 528574308 792861462 1585722924 1894057937 3788115874 5682173811 7576231748 11364347622 17046521433 22728695244 34093042866 68186085732