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138762024371082 = 23378915127315671
BaseRepresentation
bin11111100011010000001101…
…001010111100001110001010
3200012022112001001200121012000
4133203100031022330032022
5121141434111214333312
61211042221032531430
741141140215046530
oct3743201512741612
9605275031617160
10138762024371082
114023970a26a072
1213691015250b76
135c572835a1668
14263a1913d6150
1511097ba8e2adc
hex7e340d2bc38a

138762024371082 has 128 divisors (see below), whose sum is σ = 358731257241600. Its totient is φ = 38941219152000.

The previous prime is 138762024371057. The next prime is 138762024371083. The reversal of 138762024371082 is 280173420267831.

It is a happy number.

138762024371082 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 620 + 2 + 4 + 3 + 7 + 1 + 0 + 8 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (138762024371083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8577894 + ... + 18737777.

It is an arithmetic number, because the mean of its divisors is an integer number (2802587947200).

Almost surely, 2138762024371082 is an apocalyptic number.

138762024371082 is an abundant number, since it is smaller than the sum of its proper divisors (219969232870518).

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

138762024371082 is a wasteful number, since it uses less digits than its factorization.

138762024371082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27315929 (or 27315923 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 138762024371082 in words is "one hundred thirty-eight trillion, seven hundred sixty-two billion, twenty-four million, three hundred seventy-one thousand, eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 89 126 151 178 189 267 302 378 453 534 623 801 906 1057 1246 1359 1602 1869 2114 2403 2718 3171 3738 4077 4806 5607 6342 8154 9513 11214 13439 16821 19026 26878 28539 33642 40317 57078 80634 94073 120951 188146 241902 282219 362853 564438 725706 846657 1693314 2539971 5079942 27315671 54631342 81947013 163894026 191209697 245841039 382419394 491682078 573629091 737523117 1147258182 1475046234 1720887273 2431094719 3441774546 4124666321 4862189438 5162661819 7293284157 8249332642 10325323638 12373998963 14586568314 17017663033 21879852471 24747997926 28872664247 34035326066 37121996889 43759704942 51052989099 57745328494 65639557413 74243993778 86617992741 102105978198 111365990667 131279114826 153158967297 173235985482 222731981334 259853978223 306317934594 367095302569 459476901891 519707956446 734190605138 779561934669 918953803782 1101285907707 1559123869338 2202571815414 2569667117983 3303857723121 5139334235966 6607715446242 7709001353949 9911573169363 15418002707898 19823146338726 23127004061847 46254008123694 69381012185541 138762024371082