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82478119232 = 2623197284423
BaseRepresentation
bin100110011010000010…
…1000011100101000000
321212220001010120111202
41030310011003211000
52322403344303412
6101520120200332
75646612306005
oct1146405034500
9255801116452
1082478119232
1131a84825803
1213b999090a8
137a15672a62
143dc5d318ac
15222ad263c2
hex1334143940

82478119232 has 56 divisors (see below), whose sum is σ = 171651021696. Its totient is φ = 39245685248.

The previous prime is 82478119231. The next prime is 82478119259. The reversal of 82478119232 is 23291187428.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82478119231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147773 + ... + 432195.

It is an arithmetic number, because the mean of its divisors is an integer number (3065196816).

Almost surely, 282478119232 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 82478119232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85825510848).

82478119232 is an abundant number, since it is smaller than the sum of its proper divisors (89172902464).

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

82478119232 is a wasteful number, since it uses less digits than its factorization.

82478119232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284655 (or 284645 counting only the distinct ones).

The product of its digits is 387072, while the sum is 47.

The spelling of 82478119232 in words is "eighty-two billion, four hundred seventy-eight million, one hundred nineteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 197 368 394 736 788 1472 1576 3152 4531 6304 9062 12608 18124 36248 72496 144992 284423 289984 568846 1137692 2275384 4550768 6541729 9101536 13083458 18203072 26166916 52333832 56031331 104667664 112062662 209335328 224125324 418670656 448250648 896501296 1288720613 1793002592 2577441226 3586005184 5154882452 10309764904 20619529808 41239059616 82478119232