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82410000476 = 22831033536827
BaseRepresentation
bin100110011000000000…
…1001101000001011100
321212201021221210010212
41030300001031001130
52322233430003401
6101505244151552
75645124306026
oct1146001150134
9255637853125
1082410000476
1131a4a32a111
1213b7ab385b8
137a045125bb
143dbac7d016
152224d6cdbb
hex133004d05c

82410000476 has 48 divisors (see below), whose sum is σ = 147811233024. Its totient is φ = 40193235456.

The previous prime is 82410000467. The next prime is 82410000509. The reversal of 82410000476 is 67400001428.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12067775 + ... + 12074601.

It is an arithmetic number, because the mean of its divisors is an integer number (3079400688).

Almost surely, 282410000476 is an apocalyptic number.

It is an amenable number.

82410000476 is a deficient number, since it is larger than the sum of its proper divisors (65401232548).

82410000476 is a wasteful number, since it uses less digits than its factorization.

82410000476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7370 (or 7368 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 82410000476 in words is "eighty-two billion, four hundred ten million, four hundred seventy-six", and thus it is an aban number.

Divisors: 1 2 4 83 103 166 206 332 353 412 706 1412 6827 8549 13654 17098 27308 29299 34196 36359 58598 72718 117196 145436 566641 703181 1133282 1406362 2266564 2409931 2812724 3017797 4819862 6035594 9639724 12071188 58364023 116728046 200024273 233456092 248222893 400048546 496445786 800097092 992891572 20602500119 41205000238 82410000476