Search a number
-
+
86544445468650 = 235213172610692171
BaseRepresentation
bin10011101011011000110010…
…111011011110111111101010
3102100102120100012121000211020
4103223120302323132333222
542320421011014444100
6504021545215313310
724141426015553041
oct2353306273367752
9370376305530736
1086544445468650
1125637325292464
129858a8781b836
13393a14c3b5050
141752ab8727558
15a013464075a0
hex4eb632edefea

86544445468650 has 96 divisors (see below), whose sum is σ = 244736726971968. Its totient is φ = 20050115865600.

The previous prime is 86544445468597. The next prime is 86544445468651. The reversal of 86544445468650 is 5686454444568.

It is a happy number.

It is a super-2 number, since 2×865444454686502 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86544445468651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1305312936 + ... + 1305379235.

It is an arithmetic number, because the mean of its divisors is an integer number (2549340905958).

Almost surely, 286544445468650 is an apocalyptic number.

86544445468650 is an abundant number, since it is smaller than the sum of its proper divisors (158192281503318).

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

86544445468650 is a wasteful number, since it uses less digits than its factorization.

86544445468650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2610692216 (or 2610692211 counting only the distinct ones).

The product of its (nonzero) digits is 1769472000, while the sum is 69.

The spelling of 86544445468650 in words is "eighty-six trillion, five hundred forty-four billion, four hundred forty-five million, four hundred sixty-eight thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 17 25 26 30 34 39 50 51 65 75 78 85 102 130 150 170 195 221 255 325 390 425 442 510 650 663 850 975 1105 1275 1326 1950 2210 2550 3315 5525 6630 11050 16575 33150 2610692171 5221384342 7832076513 13053460855 15664153026 26106921710 33938998223 39160382565 44381766907 65267304275 67877996446 78320765130 88763533814 101816994669 130534608550 133145300721 169694991115 195801912825 203633989338 221908834535 266290601442 339389982230 391603825650 443817669070 509084973345 576962969791 665726503605 848474955575 1018169946690 1109544172675 1153925939582 1331453007210 1696949911150 1730888909373 2219088345350 2545424866725 2884814848955 3328632518025 3461777818746 5090849733450 5769629697910 6657265036050 8654444546865 14424074244775 17308889093730 28848148489550 43272222734325 86544445468650