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82365468144 = 2432277559239
BaseRepresentation
bin100110010110101011…
…1010100110111110000
321212121012011022021020
41030231113110313300
52322141024440034
6101501013455440
75644043633121
oct1145527246760
9255535138236
1082365468144
1131a27183333
1213b68041580
1379c821cacb
143db4daa048
152220ec3249
hex132d5d4df0

82365468144 has 40 divisors (see below), whose sum is σ = 213714833280. Its totient is φ = 27334204608.

The previous prime is 82365468127. The next prime is 82365468233. The reversal of 82365468144 is 44186456328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3768724 + ... + 3790515.

It is an arithmetic number, because the mean of its divisors is an integer number (5342870832).

Almost surely, 282365468144 is an apocalyptic number.

It is an amenable number.

82365468144 is an abundant number, since it is smaller than the sum of its proper divisors (131349365136).

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

82365468144 is a wasteful number, since it uses less digits than its factorization.

82365468144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7559477 (or 7559471 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 51.

The spelling of 82365468144 in words is "eighty-two billion, three hundred sixty-five million, four hundred sixty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 227 454 681 908 1362 1816 2724 3632 5448 10896 7559239 15118478 22677717 30236956 45355434 60473912 90710868 120947824 181421736 362843472 1715947253 3431894506 5147841759 6863789012 10295683518 13727578024 20591367036 27455156048 41182734072 82365468144