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82815901104 = 2432141805853
BaseRepresentation
bin100110100100000110…
…1100101110110110000
321220202120201200010110
41031020031211312300
52324101332313404
6102013424101320
75661153354546
oct1151015456660
9256676650113
1082815901104
1132138465282
1214072a64840
137a6a63b8a1
144018b3bd96
15224a7e9b89
hex1348365db0

82815901104 has 40 divisors (see below), whose sum is σ = 214041269232. Its totient is φ = 27592372480.

The previous prime is 82815901099. The next prime is 82815901109. The reversal of 82815901104 is 40110951828.

It is an interprime number because it is at equal distance from previous prime (82815901099) and next prime (82815901109).

It is not an unprimeable number, because it can be changed into a prime (82815901109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300159 + ... + 505694.

Almost surely, 282815901104 is an apocalyptic number.

It is an amenable number.

82815901104 is an abundant number, since it is smaller than the sum of its proper divisors (131225368128).

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

82815901104 is a wasteful number, since it uses less digits than its factorization.

82815901104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808005 (or 807999 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 39.

The spelling of 82815901104 in words is "eighty-two billion, eight hundred fifteen million, nine hundred one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 2141 4282 6423 8564 12846 17128 25692 34256 51384 102768 805853 1611706 2417559 3223412 4835118 6446824 9670236 12893648 19340472 38680944 1725331273 3450662546 5175993819 6901325092 10351987638 13802650184 20703975276 27605300368 41407950552 82815901104