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86502022672 = 24132293113547
BaseRepresentation
bin101000010001111101…
…1000001111000010000
322021021110211001022111
41100203323001320100
52404124004211142
6103423302315104
76151413026632
oct1204373017020
9267243731274
1086502022672
113375a155a3a
1214921428a94
138207213500
144288508a52
1523b421de17
hex1423ec1e10

86502022672 has 120 divisors (see below), whose sum is σ = 188396245440. Its totient is φ = 38412541440.

The previous prime is 86502022667. The next prime is 86502022729. The reversal of 86502022672 is 27622020568.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24385603 + ... + 24389149.

It is an arithmetic number, because the mean of its divisors is an integer number (1569968712).

Almost surely, 286502022672 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 86502022672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94198122720).

86502022672 is an abundant number, since it is smaller than the sum of its proper divisors (101894222768).

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

86502022672 is a wasteful number, since it uses less digits than its factorization.

86502022672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3921 (or 3902 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 86502022672 in words is "eighty-six billion, five hundred two million, twenty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 169 208 232 311 338 377 464 622 676 754 1244 1352 1508 2488 2704 3016 3547 4043 4901 4976 6032 7094 8086 9019 9802 14188 16172 18038 19604 28376 32344 36076 39208 46111 52559 56752 64688 72152 78416 92222 102863 105118 117247 144304 184444 205726 210236 234494 368888 411452 420472 468988 599443 737776 822904 840944 937976 1103117 1198886 1337219 1524211 1645808 1875952 2206234 2397772 2674438 3048422 4412468 4795544 5348876 6096844 8824936 9591088 10697752 12193688 14340521 17383847 17649872 21395504 24387376 28681042 31990393 34767694 57362084 63980786 69535388 114724168 127961572 139070776 186426773 229448336 255923144 278141552 372853546 415875109 511846288 745707092 831750218 1491414184 1663500436 2982828368 3327000872 5406376417 6654001744 10812752834 21625505668 43251011336 86502022672