Search a number
-
+
8093286841696 = 257371097890161
BaseRepresentation
bin111010111000101110101…
…1111001011110101100000
31001122201012002000222011021
41311301131133023311200
52030100022412413241
625114001000455224
71463502123042520
oct165613537136540
931581162028137
108093286841696
112640386481121
12aa864947a514
1346926966c484
141dda07ccd680
15e07d1b460d1
hex75c5d7cbd60

8093286841696 has 96 divisors (see below), whose sum is σ = 18719124121152. Its totient is φ = 3371726684160.

The previous prime is 8093286841621. The next prime is 8093286841699. The reversal of 8093286841696 is 6961486823908.

It is a super-2 number, since 2×80932868416962 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8093286841699) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8646856 + ... + 9537016.

It is an arithmetic number, because the mean of its divisors is an integer number (194990876262).

Almost surely, 28093286841696 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 8093286841696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9359562060576).

8093286841696 is an abundant number, since it is smaller than the sum of its proper divisors (10625837279456).

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

8093286841696 is a wasteful number, since it uses less digits than its factorization.

8093286841696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891312 (or 891304 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 70.

The spelling of 8093286841696 in words is "eight trillion, ninety-three billion, two hundred eighty-six million, eight hundred forty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 296 518 592 1036 1097 1184 2072 2194 4144 4388 7679 8288 8776 15358 17552 30716 35104 40589 61432 81178 122864 162356 245728 284123 324712 568246 649424 890161 1136492 1298848 1780322 2272984 3560644 4545968 6231127 7121288 9091936 12462254 14242576 24924508 28485152 32935957 49849016 65871914 99698032 131743828 199396064 230551699 263487656 461103398 526975312 922206796 976506617 1053950624 1844413592 1953013234 3688827184 3906026468 6835546319 7377654368 7812052936 13671092638 15624105872 27342185276 31248211744 36130744829 54684370552 72261489658 109368741104 144522979316 218737482208 252915213803 289045958632 505830427606 578091917264 1011660855212 1156183834528 2023321710424 4046643420848 8093286841696