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29391861906 = 23311711375087
BaseRepresentation
bin11011010111111001…
…000011100010010010
32210212100222021202000
4123113321003202102
5440143304040111
621300305334430
72060233463331
oct332771034222
983770867660
1029391861906
1111512a37970
125843337416
132a053aa284
1415cb783d18
15b7054ec56
hex6d7e43892

29391861906 has 128 divisors (see below), whose sum is σ = 72798289920. Its totient is φ = 8715369600.

The previous prime is 29391861883. The next prime is 29391861923. The reversal of 29391861906 is 60916819392.

29391861906 is a `hidden beast` number, since 2 + 9 + 3 + 9 + 18 + 619 + 0 + 6 = 666.

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

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, 5775295 + ... + 5780381.

It is an arithmetic number, because the mean of its divisors is an integer number (568736640).

Almost surely, 229391861906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29391861906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36399144960).

29391861906 is an abundant number, since it is smaller than the sum of its proper divisors (43406428014).

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

29391861906 is a wasteful number, since it uses less digits than its factorization.

29391861906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5317 (or 5311 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 29391861906 in words is "twenty-nine billion, three hundred ninety-one million, eight hundred sixty-one thousand, nine hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 71 99 137 142 198 213 274 297 411 426 594 639 781 822 1233 1278 1507 1562 1917 2343 2466 3014 3699 3834 4521 4686 5087 7029 7398 9042 9727 10174 13563 14058 15261 19454 21087 27126 29181 30522 40689 42174 45783 55957 58362 81378 87543 91566 106997 111914 137349 167871 175086 213994 262629 274698 320991 335742 361177 503613 525258 641982 696919 722354 962973 1007226 1083531 1393838 1510839 1925946 2090757 2167062 2888919 3021678 3250593 3972947 4181514 5777838 6272271 6501186 7666109 7945894 9751779 11918841 12544542 15332218 18816813 19503558 22998327 23837682 35756523 37633626 45996654 49481249 68994981 71513046 98962498 107269569 137989962 148443747 206984943 214539138 296887494 413969886 445331241 544293739 890662482 1088587478 1335993723 1632881217 2671987446 3265762434 4898643651 9797287302 14695930953 29391861906