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86664646668 = 223232925742131
BaseRepresentation
bin101000010110110011…
…1011001000000001100
322021200210211012111110
41100231213121000030
52404442122143133
6103451352052020
76155426225235
oct1205547310014
9267623735443
1086664646668
1133832a2a836
1214967994010
138231b12422
1442a1d5c08c
1523c3643c63
hex142d9d900c

86664646668 has 96 divisors (see below), whose sum is σ = 219140328960. Its totient is φ = 26574929920.

The previous prime is 86664646643. The next prime is 86664646721.

86664646668 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 86664646599 and 86664646608.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2035963 + ... + 2078093.

It is an arithmetic number, because the mean of its divisors is an integer number (2282711760).

Almost surely, 286664646668 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 86664646668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109570164480).

86664646668 is an abundant number, since it is smaller than the sum of its proper divisors (132475682292).

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

86664646668 is a wasteful number, since it uses less digits than its factorization.

86664646668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42447 (or 42445 counting only the distinct ones).

The product of its digits is 286654464, while the sum is 66.

The spelling of 86664646668 in words is "eighty-six billion, six hundred sixty-four million, six hundred forty-six thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 23 29 46 58 69 87 92 116 138 174 257 276 348 514 667 771 1028 1334 1542 2001 2668 3084 4002 5911 7453 8004 11822 14906 17733 22359 23644 29812 35466 42131 44718 70932 84262 89436 126393 168524 171419 252786 342838 505572 514257 685676 969013 1028514 1221799 1938026 2057028 2443598 2907039 3665397 3876052 4887196 5814078 7330794 10827667 11628156 14661588 21655334 28101377 32483001 43310668 56202754 64966002 84304131 112405508 129932004 168608262 249036341 314002343 337216524 498072682 628004686 747109023 942007029 996145364 1256009372 1494218046 1884014058 2988436092 3768028116 7222053889 14444107778 21666161667 28888215556 43332323334 86664646668