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82280159232 = 211341326633
BaseRepresentation
bin100110010100001000…
…1111001100000000000
321212101020122011102220
41030220101321200000
52322002210043412
6101444325211040
75641656546105
oct1145021714000
9255336564386
1082280159232
11319930064a7
1213b43560a80
1379b365116b
143da7920aac
15221877168c
hex1328479800

82280159232 has 96 divisors (see below), whose sum is σ = 224711126640. Its totient is φ = 26757693440.

The previous prime is 82280159207. The next prime is 82280159287. The reversal of 82280159232 is 23295108228.

It is a tau number, because it is divible by the number of its divisors (96).

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, 88588 + ... + 415220.

Almost surely, 282280159232 is an apocalyptic number.

82280159232 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82280159232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112355563320).

82280159232 is an abundant number, since it is smaller than the sum of its proper divisors (142430967408).

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

82280159232 is a wasteful number, since it uses less digits than its factorization.

82280159232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326699 (or 326679 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 82280159232 in words is "eighty-two billion, two hundred eighty million, one hundred fifty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 512 656 768 984 1024 1312 1536 1968 2048 2624 3072 3936 5248 6144 7872 10496 15744 20992 31488 41984 62976 83968 125952 251904 326633 653266 979899 1306532 1959798 2613064 3919596 5226128 7839192 10452256 13391953 15678384 20904512 26783906 31356768 40175859 41809024 53567812 62713536 80351718 83618048 107135624 125427072 160703436 167236096 214271248 250854144 321406872 334472192 428542496 501708288 642813744 668944384 857084992 1003416576 1285627488 1714169984 2006833152 2571254976 3428339968 5142509952 6856679936 10285019904 13713359872 20570039808 27426719744 41140079616 82280159232