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86660090118 = 23273135362851
BaseRepresentation
bin101000010110101011…
…0000000100100000110
322021200111020201002100
41100231112000210012
52404434440340433
6103451110252530
76155342416650
oct1205526004406
9267614221070
1086660090118
11338303a8398
1214966357146
138230ba8444
1442a14d36d0
1523c3043b13
hex142d580906

86660090118 has 96 divisors (see below), whose sum is σ = 222140086272. Its totient is φ = 23893056000.

The previous prime is 86660090117. The next prime is 86660090129. The reversal of 86660090118 is 81109006668.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86660090113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1347393 + ... + 1410243.

It is an arithmetic number, because the mean of its divisors is an integer number (2313959232).

Almost surely, 286660090118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86660090118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111070043136).

86660090118 is an abundant number, since it is smaller than the sum of its proper divisors (135479996154).

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

86660090118 is a wasteful number, since it uses less digits than its factorization.

86660090118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63250 (or 63247 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 86660090118 in words is "eighty-six billion, six hundred sixty million, ninety thousand, one hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 353 434 558 651 706 1059 1302 1953 2118 2471 3177 3906 4942 6354 7413 10943 14826 21886 22239 32829 44478 62851 65658 76601 98487 125702 153202 188553 196974 229803 377106 439957 459606 565659 689409 879914 1131318 1319871 1378818 1948381 2639742 3896762 3959613 5845143 7919226 11690286 13638667 17535429 22186403 27277334 35070858 40916001 44372806 66559209 81832002 122748003 133118418 155304821 199677627 245496006 310609642 399355254 465914463 687778493 931828926 1375556986 1397743389 2063335479 2795486778 4126670958 4814449451 6190006437 9628898902 12380012874 14443348353 28886696706 43330045059 86660090118