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85264278330 = 23571144982207
BaseRepresentation
bin100111101101000100…
…1011010001100111010
322011002012210010021110
41033122021122030322
52344110123401310
6103100405221150
76105633256560
oct1173211321472
9264065703243
1085264278330
113318450a330
1214636a017b6
13806a9650ca
1441abd91a30
152340729d20
hex13da25a33a

85264278330 has 128 divisors (see below), whose sum is σ = 255699763200. Its totient is φ = 17677578240.

The previous prime is 85264278329. The next prime is 85264278331. The reversal of 85264278330 is 3387246258.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85264278329) and next prime (85264278331).

It is a self number, because there is not a number n which added to its sum of digits gives 85264278330.

It is not an unprimeable number, because it can be changed into a prime (85264278331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 996087 + ... + 1078293.

It is an arithmetic number, because the mean of its divisors is an integer number (1997654400).

Almost surely, 285264278330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85264278330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127849881600).

85264278330 is an abundant number, since it is smaller than the sum of its proper divisors (170435484870).

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

85264278330 is a wasteful number, since it uses less digits than its factorization.

85264278330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82684.

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 85264278330 in words is "eighty-five billion, two hundred sixty-four million, two hundred seventy-eight thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 449 462 770 898 1155 1347 2245 2310 2694 3143 4490 4939 6286 6735 9429 9878 13470 14817 15715 18858 24695 29634 31430 34573 47145 49390 69146 74085 82207 94290 103719 148170 164414 172865 207438 246621 345730 411035 493242 518595 575449 822070 904277 1037190 1150898 1233105 1726347 1808554 2466210 2712831 2877245 3452694 4521385 5425662 5754490 6329939 8631735 9042770 12659878 13564155 17263470 18989817 27128310 31649695 36910943 37979634 63299390 73821886 94949085 110732829 184554715 189898170 221465658 258376601 369109430 406020373 516753202 553664145 775129803 812040746 1107328290 1218061119 1291883005 1550259606 2030101865 2436122238 2583766010 2842142611 3875649015 4060203730 5684285222 6090305595 7751298030 8526427833 12180611190 14210713055 17052855666 28421426110 42632139165 85264278330