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86683814748 = 223237477331889
BaseRepresentation
bin101000010111011000…
…0100000101101011100
322021202010220001011100
41100232300200231130
52410012024032443
6103453314553100
76156051160656
oct1205660405534
9267663801140
1086683814748
1133842832023
1214972298790
138235a93c9b
1442a470b6d6
1523c517d3d3
hex142ec20b5c

86683814748 has 144 divisors (see below), whose sum is σ = 230262963840. Its totient is φ = 27463421952.

The previous prime is 86683814731. The next prime is 86683814771. The reversal of 86683814748 is 84741838668.

86683814748 is a `hidden beast` number, since 8 + 6 + 6 + 83 + 81 + 474 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45887788 + ... + 45889676.

It is an arithmetic number, because the mean of its divisors is an integer number (1599048360).

Almost surely, 286683814748 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 86683814748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115131481920).

86683814748 is an abundant number, since it is smaller than the sum of its proper divisors (143579149092).

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

86683814748 is a wasteful number, since it uses less digits than its factorization.

86683814748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2716 (or 2711 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 63.

The spelling of 86683814748 in words is "eighty-six billion, six hundred eighty-three million, eight hundred fourteen thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 47 74 94 111 141 148 188 222 282 333 423 444 564 666 733 846 1332 1466 1692 1739 1889 2199 2932 3478 3778 4398 5217 5667 6597 6956 7556 8796 10434 11334 13194 15651 17001 20868 22668 26388 27121 31302 34002 34451 54242 62604 68004 68902 69893 81363 88783 103353 108484 137804 139786 162726 177566 206706 209679 244089 266349 279572 310059 325452 355132 413412 419358 488178 532698 620118 629037 799047 838716 976356 1065396 1240236 1258074 1274687 1384637 1598094 2516148 2549374 2769274 3196188 3284971 3824061 4153911 5098748 5538548 6569942 7648122 8307822 9854913 11472183 12461733 13139884 15296244 16615644 19709826 22944366 24923466 29564739 39419652 45888732 49846932 51231569 59129478 65077939 102463138 118258956 130155878 153694707 195233817 204926276 260311756 307389414 390467634 461084121 585701451 614778828 780935268 922168242 1171402902 1844336484 2342805804 2407883743 4815767486 7223651229 9631534972 14447302458 21670953687 28894604916 43341907374 86683814748