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82268067336 = 233713169922171
BaseRepresentation
bin100110010011110001…
…1110001011000001000
321212100101212211110220
41030213203301120020
52321441111123321
6101443214110040
75641452014550
oct1144743613010
9255311784426
1082268067336
11319871a76a4
1213b3b4ab320
1379b0ca93b0
143da6094160
1522176839c6
hex13278f1608

82268067336 has 128 divisors (see below), whose sum is σ = 253292928000. Its totient is φ = 21683324160.

The previous prime is 82268067191. The next prime is 82268067337. The reversal of 82268067336 is 63376086228.

It is not an unprimeable number, because it can be changed into a prime (82268067337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3699531 + ... + 3721701.

It is an arithmetic number, because the mean of its divisors is an integer number (1978851000).

Almost surely, 282268067336 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 82268067336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126646464000).

82268067336 is an abundant number, since it is smaller than the sum of its proper divisors (171024860664).

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

82268067336 is a wasteful number, since it uses less digits than its factorization.

82268067336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23899 (or 23895 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 82268067336 in words is "eighty-two billion, two hundred sixty-eight million, sixty-seven thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 1699 2184 3398 5097 6796 10194 11893 13592 20388 22087 22171 23786 35679 40776 44174 44342 47572 66261 66513 71358 88348 88684 95144 132522 133026 142716 154609 155197 176696 177368 265044 266052 285432 288223 309218 310394 463827 465591 530088 532104 576446 618436 620788 864669 927654 931182 1152892 1236872 1241576 1729338 1855308 1862364 2017561 2305784 3458676 3710616 3724728 4035122 6052683 6917352 8070244 12105366 16140488 24210732 37668529 48421464 75337058 113005587 150674116 226011174 263679703 301348232 452022348 489690877 527359406 791039109 904044696 979381754 1054718812 1469072631 1582078218 1958763508 2109437624 2938145262 3164156436 3427836139 3917527016 5876290524 6328312872 6855672278 10283508417 11752581048 13711344556 20567016834 27422689112 41134033668 82268067336