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83680770648 = 2332328379411
BaseRepresentation
bin100110111101111000…
…0110011101001011000
321222222212010121002210
41031323300303221120
52332334234130043
6102235321155120
76021454546236
oct1157360635130
9258885117083
1083680770648
11325416825a2
121427462baa0
137b77885007
14409b951956
15229b6d7633
hex137bc33a58

83680770648 has 96 divisors (see below), whose sum is σ = 221330773440. Its totient is φ = 26359037760.

The previous prime is 83680770637. The next prime is 83680770661. The reversal of 83680770648 is 84607708638.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1014063 + ... + 1093473.

It is an arithmetic number, because the mean of its divisors is an integer number (2305528890).

Almost surely, 283680770648 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 83680770648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110665386720).

83680770648 is an abundant number, since it is smaller than the sum of its proper divisors (137650002792).

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

83680770648 is a wasteful number, since it uses less digits than its factorization.

83680770648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79549 (or 79522 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 57.

The spelling of 83680770648 in words is "eighty-three billion, six hundred eighty million, seven hundred seventy thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 83 92 138 166 184 249 276 332 498 529 552 664 996 1058 1587 1909 1992 2116 3174 3818 4232 5727 6348 7636 11454 12696 15272 22908 43907 45816 79411 87814 131721 158822 175628 238233 263442 317644 351256 476466 526884 635288 952932 1053768 1826453 1905864 3652906 5479359 6591113 7305812 10958718 13182226 14611624 19773339 21917436 26364452 39546678 42008419 43834872 52728904 79093356 84016838 126025257 151595599 158186712 168033676 252050514 303191198 336067352 454786797 504101028 606382396 909573594 1008202056 1212764792 1819147188 3486698777 3638294376 6973397554 10460096331 13946795108 20920192662 27893590216 41840385324 83680770648