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82380680701520 = 2451961888488791
BaseRepresentation
bin10010101110110010111111…
…001101011010011001010000
3101210200111221021121012021112
4102232302333031122121100
541244211113224422040
6451113055014112452
723231544031156145
oct2256627715323120
9353614837535245
1082380680701520
11242814a5661443
1292a5b1734b728
1336c76073a0356
14164b3638b43cc
1597cd9d203365
hex4aecbf35a650

82380680701520 has 80 divisors (see below), whose sum is σ = 204921054986880. Its totient is φ = 30706172582400.

The previous prime is 82380680701513. The next prime is 82380680701603. The reversal of 82380680701520 is 2510708608328.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444151676 + ... + 444337115.

It is an arithmetic number, because the mean of its divisors is an integer number (2561513187336).

Almost surely, 282380680701520 is an apocalyptic number.

82380680701520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82380680701520 is an abundant number, since it is smaller than the sum of its proper divisors (122540374285360).

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

82380680701520 is a wasteful number, since it uses less digits than its factorization.

82380680701520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888488884 (or 888488878 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 50.

The spelling of 82380680701520 in words is "eighty-two trillion, three hundred eighty billion, six hundred eighty million, seven hundred one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 61 76 80 95 122 152 190 244 304 305 380 488 610 760 976 1159 1220 1520 2318 2440 4636 4880 5795 9272 11590 18544 23180 46360 92720 888488791 1776977582 3553955164 4442443955 7107910328 8884887910 14215820656 16881287029 17769775820 33762574058 35539551640 54197816251 67525148116 71079103280 84406435145 108395632502 135050296232 168812870290 216791265004 270100592464 270989081255 337625740580 433582530008 541978162510 675251481160 867165060016 1029758508769 1083956325020 1350502962320 2059517017538 2167912650040 4119034035076 4335825300080 5148792543845 8238068070152 10297585087690 16476136140304 20595170175380 41190340350760 82380680701520