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86316719776 = 2578916212671
BaseRepresentation
bin101000001100011100…
…0001001111010100000
322020210120010200112021
41100120320021322200
52403234040013101
6103353042511224
76144003004150
oct1203070117240
9266716120467
1086316719776
11336745a1151
121488b365514
1381a7a03a21
14426ba70760
1523a2d195a1
hex1418e09ea0

86316719776 has 96 divisors (see below), whose sum is σ = 196589514240. Its totient is φ = 36540979200.

The previous prime is 86316719761. The next prime is 86316719789. The reversal of 86316719776 is 67791761368.

It is a super-2 number, since 2×863167197762 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32314921 + ... + 32317591.

It is an arithmetic number, because the mean of its divisors is an integer number (2047807440).

Almost surely, 286316719776 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 86316719776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98294757120).

86316719776 is an abundant number, since it is smaller than the sum of its proper divisors (110272794464).

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

86316719776 is a wasteful number, since it uses less digits than its factorization.

86316719776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4398 (or 4390 counting only the distinct ones).

The product of its digits is 16003008, while the sum is 61.

The spelling of 86316719776 in words is "eighty-six billion, three hundred sixteen million, seven hundred nineteen thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 89 112 178 224 356 623 712 1246 1424 1621 2492 2671 2848 3242 4984 5342 6484 9968 10684 11347 12968 18697 19936 21368 22694 25936 37394 42736 45388 51872 74788 85472 90776 144269 149576 181552 237719 288538 299152 363104 475438 577076 598304 950876 1009883 1154152 1664033 1901752 2019766 2308304 3328066 3803504 4039532 4329691 4616608 6656132 7607008 8079064 8659382 13312264 16158128 17318764 26624528 30307837 32316256 34637528 53249056 60615674 69275056 121231348 138550112 242462696 385342499 484925392 770684998 969850784 1541369996 2697397493 3082739992 5394794986 6165479984 10789589972 12330959968 21579179944 43158359888 86316719776