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86612381580440 = 235175031093231677
BaseRepresentation
bin10011101100011000000100…
…001111001011110010011000
3102100200001200210101002022202
4103230120010033023302120
542323024124141033230
6504113102342105332
724146352362150642
oct2354300417136230
9370601623332282
1086612381580440
11256631174707a1
12986a08741b248
133943688076671
1417560c11b3892
15a02ec0735a45
hex4ec6043cbc98

86612381580440 has 128 divisors (see below), whose sum is σ = 206941536063360. Its totient is φ = 32512275554304.

The previous prime is 86612381580421. The next prime is 86612381580533. The reversal of 86612381580440 is 4408518321668.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373733882 + ... + 373965558.

It is an arithmetic number, because the mean of its divisors is an integer number (1616730750495).

Almost surely, 286612381580440 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 86612381580440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103470768031680).

86612381580440 is an abundant number, since it is smaller than the sum of its proper divisors (120329154482920).

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

86612381580440 is a wasteful number, since it uses less digits than its factorization.

86612381580440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233301 (or 233297 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 56.

The spelling of 86612381580440 in words is "eighty-six trillion, six hundred twelve billion, three hundred eighty-one million, five hundred eighty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 503 680 1006 1093 2012 2186 2515 4024 4372 5030 5465 8551 8744 10060 10930 17102 18581 20120 21860 34204 37162 42755 43720 68408 74324 85510 92905 148648 171020 185810 231677 342040 371620 463354 549779 743240 926708 1099558 1158385 1853416 2199116 2316770 2748895 3938509 4398232 4633540 5497790 7877018 9267080 9346243 10995580 15754036 18692486 19692545 21991160 31508072 37384972 39385090 46731215 74769944 78770180 93462430 116533531 157540360 186924860 233067062 253222961 373849720 466134124 506445922 582667655 932268248 1012891844 1165335310 1266114805 1981070027 2025783688 2330670620 2532229610 3962140054 4304790337 4661341240 5064459220 7924280108 8609580674 9905350135 10128918440 15848560216 17219161348 19810700270 21523951685 34438322696 39621400540 43047903370 79242801080 86095806740 127371149383 172191613480 254742298766 509484597532 636855746915 1018969195064 1273711493830 2165309539511 2547422987660 4330619079022 5094845975320 8661238158044 10826547697555 17322476316088 21653095395110 43306190790220 86612381580440