Search a number
-
+
82348055433164 = 224713919369123629
BaseRepresentation
bin10010101110010100100110…
…100101111000111111001100
3101210120101201120101211202002
4102232110212211320333030
541243142304142330124
6451050101401251432
723226310403025533
oct2256244645707714
9353511646354662
1082348055433164
1124269683534444
12929b731193b78
1336c4508158c31
14164994a92b31a
1597c0ddda70ae
hex4ae526978fcc

82348055433164 has 96 divisors (see below), whose sum is σ = 149224062489600. Its totient is φ = 39741494538240.

The previous prime is 82348055433143. The next prime is 82348055433257. The reversal of 82348055433164 is 46133455084328.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3485030102 + ... + 3485053730.

It is an arithmetic number, because the mean of its divisors is an integer number (1554417317600).

Almost surely, 282348055433164 is an apocalyptic number.

It is an amenable number.

82348055433164 is a deficient number, since it is larger than the sum of its proper divisors (66876007056436).

82348055433164 is a wasteful number, since it uses less digits than its factorization.

82348055433164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24703 (or 24701 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 56.

The spelling of 82348055433164 in words is "eighty-two trillion, three hundred forty-eight billion, fifty-five million, four hundred thirty-three thousand, one hundred sixty-four".

Divisors: 1 2 4 47 94 139 188 193 278 386 556 691 772 1382 2764 6533 9071 13066 18142 23629 26132 26827 32477 36284 47258 53654 64954 94516 96049 107308 129908 133363 192098 266726 384196 533452 1110563 1260869 2221126 2521738 3284431 4442252 4514303 4560397 5043476 6268061 6568862 9028606 9120794 12536122 13137724 16327639 18057212 18241588 18537457 25072244 32655278 37074914 65310556 74149828 154368257 214338659 308736514 428677318 617473028 633895183 767399033 857354636 871260479 1267790366 1534798066 1742520958 2269541821 2535580732 3069596132 3151234327 3485041916 4539083642 6302468654 9078167284 12604937308 29793073601 59586147202 106668465587 119172294404 148108013369 213336931174 296216026738 426673862348 438021571453 592432053476 876043142906 1752086285812 20587013858291 41174027716582 82348055433164