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86320643508 = 2232112101919447
BaseRepresentation
bin101000001100100011…
…1000111110110110100
322020210211112000212200
41100121013013312310
52403241041043013
6103353302544500
76144051235461
oct1203107076664
9266724460780
1086320643508
1133676831100
1214890738130
1381a8778968
14426c3b2668
1523a3341e73
hex14191c7db4

86320643508 has 108 divisors (see below), whose sum is σ = 240086726880. Its totient is φ = 26130756960.

The previous prime is 86320643503. The next prime is 86320643531. The reversal of 86320643508 is 80534602368.

It is a happy number.

86320643508 is a `hidden beast` number, since 8 + 6 + 3 + 206 + 435 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86320643501) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4429041 + ... + 4448487.

Almost surely, 286320643508 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 86320643508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120043363440).

86320643508 is an abundant number, since it is smaller than the sum of its proper divisors (153766083372).

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

86320643508 is a wasteful number, since it uses less digits than its factorization.

86320643508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20498 (or 20482 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 86320643508 in words is "eighty-six billion, three hundred twenty million, six hundred forty-three thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1019 1089 1452 2038 2178 3057 4076 4356 6114 9171 11209 12228 18342 19447 22418 33627 36684 38894 44836 58341 67254 77788 100881 116682 123299 134508 175023 201762 213917 233364 246598 350046 369897 403524 427834 493196 641751 700092 739794 855668 1109691 1283502 1479588 1925253 2219382 2353087 2567004 3850506 4438764 4706174 7059261 7701012 9412348 14118522 19816493 21177783 28237044 39632986 42355566 59449479 79265972 84711132 118898958 178348437 217981423 237797916 356696874 435962846 653944269 713393748 871925692 1307888538 1961832807 2397795653 2615777076 3923665614 4795591306 7193386959 7847331228 9591182612 14386773918 21580160877 28773547836 43160321754 86320643508