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91388136672 = 25327431054219
BaseRepresentation
bin101010100011100101…
…0000100110011100000
322201212222220100122200
41111013022010303200
52444130330333142
6105552204533200
76413453226150
oct1250712046340
9281788810580
1091388136672
1135837247788
1215865851200
1388055a9021
1445cd402760
15259d17b64c
hex1547284ce0

91388136672 has 144 divisors (see below), whose sum is σ = 303918975360. Its totient is φ = 25503641856.

The previous prime is 91388136661. The next prime is 91388136691. The reversal of 91388136672 is 27663188319.

91388136672 is a `hidden beast` number, since 9 + 138 + 81 + 366 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 440422 + ... + 613797.

It is an arithmetic number, because the mean of its divisors is an integer number (2110548440).

Almost surely, 291388136672 is an apocalyptic number.

It is an amenable number.

91388136672 is an abundant number, since it is smaller than the sum of its proper divisors (212530838688).

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

91388136672 is a wasteful number, since it uses less digits than its factorization.

91388136672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054285 (or 1054274 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 91388136672 in words is "ninety-one billion, three hundred eighty-eight million, one hundred thirty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 43 48 56 63 72 84 86 96 112 126 129 144 168 172 224 252 258 288 301 336 344 387 504 516 602 672 688 774 903 1008 1032 1204 1376 1548 1806 2016 2064 2408 2709 3096 3612 4128 4816 5418 6192 7224 9632 10836 12384 14448 21672 28896 43344 86688 1054219 2108438 3162657 4216876 6325314 7379533 8433752 9487971 12650628 14759066 16867504 18975942 22138599 25301256 29518132 33735008 37951884 44277198 45331417 50602512 59036264 66415797 75903768 88554396 90662834 101205024 118072528 132831594 135994251 151807536 177108792 181325668 236145056 265663188 271988502 303615072 317319919 354217584 362651336 407982753 531326376 543977004 634639838 708435168 725302672 815965506 951959757 1062652752 1087954008 1269279676 1450605344 1631931012 1903919514 2125305504 2175908016 2538559352 2855879271 3263862024 3807839028 4351816032 5077118704 5711758542 6527724048 7615678056 10154237408 11423517084 13055448096 15231356112 22847034168 30462712224 45694068336 91388136672