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82443501472 = 2523383292469
BaseRepresentation
bin100110011001000000…
…0111111111110100000
321212210121222210212111
41030302000333332200
52322321014021342
6101512442205104
75646012125413
oct1146200777640
9255717883774
1082443501472
1131a67230992
1213b8a1b3794
137a0b441c87
143dc14bdb7a
152227c89217
hex133203ffa0

82443501472 has 48 divisors (see below), whose sum is σ = 169810421760. Its totient is φ = 39326417152.

The previous prime is 82443501463. The next prime is 82443501509. The reversal of 82443501472 is 27410534428.

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, 135654 + ... + 428122.

It is an arithmetic number, because the mean of its divisors is an integer number (3537717120).

Almost surely, 282443501472 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 82443501472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84905210880).

82443501472 is an abundant number, since it is smaller than the sum of its proper divisors (87366920288).

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

82443501472 is a wasteful number, since it uses less digits than its factorization.

82443501472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292885 (or 292877 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The spelling of 82443501472 in words is "eighty-two billion, four hundred forty-three million, five hundred one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 383 736 766 1532 3064 6128 8809 12256 17618 35236 70472 140944 281888 292469 584938 1169876 2339752 4679504 6726787 9359008 13453574 26907148 53814296 107628592 112015627 215257184 224031254 448062508 896125016 1792250032 2576359421 3584500064 5152718842 10305437684 20610875368 41221750736 82443501472