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82710349696 = 27131729100823
BaseRepresentation
bin100110100000111101…
…0111100011110000000
321220111020010002211001
41031001322330132000
52323342322142241
6101555133501344
75655432241522
oct1150172743600
9256436102731
1082710349696
1132093921a07
1214043641854
137a51803330
144008b03a12
1522413ea431
hex1341ebc780

82710349696 has 128 divisors (see below), whose sum is σ = 194368507200. Its totient is φ = 34689220608.

The previous prime is 82710349651. The next prime is 82710349721. The reversal of 82710349696 is 69694301728.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 769941 + ... + 870763.

Almost surely, 282710349696 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 82710349696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97184253600).

82710349696 is an abundant number, since it is smaller than the sum of its proper divisors (111658157504).

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

82710349696 is a wasteful number, since it uses less digits than its factorization.

82710349696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100896 (or 100884 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 55.

The spelling of 82710349696 in words is "eighty-two billion, seven hundred ten million, three hundred forty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 17 26 29 32 34 52 58 64 68 104 116 128 136 208 221 232 272 377 416 442 464 493 544 754 832 884 928 986 1088 1508 1664 1768 1856 1972 2176 3016 3536 3712 3944 6032 6409 7072 7888 12064 12818 14144 15776 24128 25636 28288 31552 48256 51272 63104 100823 102544 201646 205088 403292 410176 806584 820352 1310699 1613168 1713991 2621398 2923867 3226336 3427982 5242796 5847734 6452672 6855964 10485592 11695468 12905344 13711928 20971184 22281883 23390936 27423856 38010271 41942368 44563766 46781872 49705739 54847712 76020542 83884736 89127532 93563744 99411478 109695424 152041084 167769472 178255064 187127488 198822956 219390848 304082168 356510128 374254976 397645912 608164336 646174607 713020256 795291824 1216328672 1292349214 1426040512 1590583648 2432657344 2584698428 2852081024 3181167296 4865314688 5169396856 6362334592 10338793712 20677587424 41355174848 82710349696