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5041601838 = 2347131720117
BaseRepresentation
bin1001011001000000…
…01011110100101110
3111000100122220120000
410230200023310232
540311122224323
62152135005130
7235635623430
oct45440136456
914010586500
105041601838
112157942099
12b885097a6
13624666570
1435b810650
151e7922e43
hex12c80bd2e

5041601838 has 160 divisors (see below), whose sum is σ = 14722513344. Its totient is φ = 1251376128.

The previous prime is 5041601809. The next prime is 5041601843. The reversal of 5041601838 is 8381061405.

5041601838 is a `hidden beast` number, since 5 + 0 + 41 + 601 + 8 + 3 + 8 = 666.

It is a super-3 number, since 3×50416018383 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 240556 + ... + 260672.

Almost surely, 25041601838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5041601838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7361256672).

5041601838 is an abundant number, since it is smaller than the sum of its proper divisors (9680911506).

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

5041601838 is a wasteful number, since it uses less digits than its factorization.

5041601838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20168 (or 20159 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5041601838 is about 71004.2381692811. The cubic root of 5041601838 is about 1714.7053967293.

The spelling of 5041601838 in words is "five billion, forty-one million, six hundred one thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 9 13 14 17 18 21 26 27 34 39 42 51 54 63 78 81 91 102 117 119 126 153 162 182 189 221 234 238 273 306 351 357 378 442 459 546 567 663 702 714 819 918 1053 1071 1134 1326 1377 1547 1638 1989 2106 2142 2457 2754 3094 3213 3978 4641 4914 5967 6426 7371 9282 9639 11934 13923 14742 17901 19278 20117 27846 35802 40234 41769 60351 83538 120702 125307 140819 181053 250614 261521 281638 341989 362106 422457 523042 543159 683978 784563 844914 1025967 1086318 1267371 1569126 1629477 1830647 2051934 2353689 2393923 2534742 3077901 3258954 3661294 3802113 4445857 4707378 4787846 5491941 6155802 7061067 7181769 7604226 8891714 9233703 10983882 11406339 13337571 14122134 14363538 16475823 18467406 21183201 21545307 22812678 26675142 27701109 31120999 32951646 40012713 42366402 43090614 49427469 55402218 62241998 64635921 80025426 93362997 98854938 120038139 129271842 148282407 186725994 193907763 240076278 280088991 296564814 360114417 387815526 560177982 720228834 840266973 1680533946 2520800919 5041601838