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138739566474 = 2371910116529
BaseRepresentation
bin1000000100110110000…
…1011100011110001010
3111021002222222020000000
42001031201130132022
54233114312111344
6143422554223430
713011044566665
oct2011541343612
9437088866000
10138739566474
1153925960843
1222a7b724b76
13101106cb442
146a0208a6dc
153920249a69
hex204d85c78a

138739566474 has 128 divisors (see below), whose sum is σ = 331816608000. Its totient is φ = 43376083200.

The previous prime is 138739566419. The next prime is 138739566491. The reversal of 138739566474 is 474665937831.

It is a happy number.

138739566474 is a `hidden beast` number, since 1 + 3 + 8 + 73 + 95 + 6 + 6 + 474 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8385442 + ... + 8401970.

It is an arithmetic number, because the mean of its divisors is an integer number (2592317250).

Almost surely, 2138739566474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138739566474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165908304000).

138739566474 is an abundant number, since it is smaller than the sum of its proper divisors (193077041526).

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

138739566474 is a wasteful number, since it uses less digits than its factorization.

138739566474 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16672 (or 16654 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 138739566474 in words is "one hundred thirty-eight billion, seven hundred thirty-nine million, five hundred sixty-six thousand, four hundred seventy-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 101 114 162 171 202 243 303 342 486 513 606 729 909 1026 1458 1539 1818 1919 2187 2727 3078 3838 4374 4617 5454 5757 8181 9234 11514 13851 16362 16529 17271 24543 27702 33058 34542 41553 49086 49587 51813 73629 83106 99174 103626 147258 148761 155439 220887 297522 310878 314051 441774 446283 466317 628102 892566 932634 942153 1338849 1398951 1669429 1884306 2677698 2797902 2826459 3338858 4016547 4196853 5008287 5652918 8033094 8393706 8479377 10016574 12049641 15024861 16958754 24099282 25438131 30049722 31719151 36148923 45074583 50876262 63438302 72297846 76314393 90149166 95157453 135223749 152628786 190314906 228943179 270447498 285472359 405671247 457886358 570944718 686829537 811342494 856417077 1217013741 1373659074 1712834154 2434027482 2569251231 3651041223 5138502462 7302082446 7707753693 15415507386 23123261079 46246522158 69369783237 138739566474