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86668677264 = 24313433320767
BaseRepresentation
bin101000010110111011…
…0110001000010010000
322021201002101222102210
41100231312301002100
52404444140133024
6103452014312120
76155505413241
oct1205566610220
9267632358383
1086668677264
1133835233004
12149691b8640
1382328c3bb0
1442a26cacc8
1523c3b8d129
hex142ddb1090

86668677264 has 80 divisors (see below), whose sum is σ = 241674309632. Its totient is φ = 26605615104.

The previous prime is 86668677259. The next prime is 86668677287. The reversal of 86668677264 is 46277686668.

It is a super-2 number, since 2×866686772642 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86668677195 and 86668677204.

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, 109809 + ... + 430575.

Almost surely, 286668677264 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 86668677264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120837154816).

86668677264 is an abundant number, since it is smaller than the sum of its proper divisors (155005632368).

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

86668677264 is a wasteful number, since it uses less digits than its factorization.

86668677264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321224 (or 321218 counting only the distinct ones).

The product of its digits is 195084288, while the sum is 66.

The spelling of 86668677264 in words is "eighty-six billion, six hundred sixty-eight million, six hundred seventy-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 433 624 866 1299 1732 2598 3464 5196 5629 6928 10392 11258 16887 20784 22516 33774 45032 67548 90064 135096 270192 320767 641534 962301 1283068 1924602 2566136 3849204 4169971 5132272 7698408 8339942 12509913 15396816 16679884 25019826 33359768 50039652 66719536 100079304 138892111 200158608 277784222 416676333 555568444 833352666 1111136888 1666705332 1805597443 2222273776 3333410664 3611194886 5416792329 6666821328 7222389772 10833584658 14444779544 21667169316 28889559088 43334338632 86668677264