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82305829960 = 23516271264687
BaseRepresentation
bin100110010100111001…
…1110100110001001000
321212110000221101001121
41030221303310301020
52322030243024320
6101451043325024
75642421003634
oct1145163646110
9255400841047
1082305829960
11319a654a282
1213b50080774
1379b8a6b743
143dab0c3dc4
15221ab428aa
hex1329cf4c48

82305829960 has 32 divisors (see below), whose sum is σ = 185302085760. Its totient is φ = 32902070976.

The previous prime is 82305829909. The next prime is 82305829973. The reversal of 82305829960 is 6992850328.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 82305829898 and 82305829907.

It is an unprimeable number.

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, 567264 + ... + 697423.

It is an arithmetic number, because the mean of its divisors is an integer number (5790690180).

Almost surely, 282305829960 is an apocalyptic number.

It is an amenable number.

82305829960 is an abundant number, since it is smaller than the sum of its proper divisors (102996255800).

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

82305829960 is a wasteful number, since it uses less digits than its factorization.

82305829960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266325 (or 1266321 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The spelling of 82305829960 in words is "eighty-two billion, three hundred five million, eight hundred twenty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 1627 3254 6508 8135 13016 16270 32540 65080 1264687 2529374 5058748 6323435 10117496 12646870 25293740 50587480 2057645749 4115291498 8230582996 10288228745 16461165992 20576457490 41152914980 82305829960