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127986381432 = 233272132790563
BaseRepresentation
bin111011100110010010…
…1010011001001111000
3110020100120221211020100
41313030211103021320
54044104003201212
6134443544155400
712150423202200
oct1671445231170
9406316854210
10127986381432
114a307a80758
122097a468b60
13c0b896c860
1462a1ca7400
1534e11b0bdc
hex1dcc953278

127986381432 has 144 divisors (see below), whose sum is σ = 434239664040. Its totient is φ = 33754637952.

The previous prime is 127986381431. The next prime is 127986381437. The reversal of 127986381432 is 234183689721.

It is a happy number.

127986381432 is a `hidden beast` number, since 1 + 2 + 79 + 8 + 63 + 81 + 432 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127986381431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1349418 + ... + 1441145.

Almost surely, 2127986381432 is an apocalyptic number.

127986381432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

127986381432 is an abundant number, since it is smaller than the sum of its proper divisors (306253282608).

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

127986381432 is a wasteful number, since it uses less digits than its factorization.

127986381432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790602 (or 2790588 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 127986381432 in words is "one hundred twenty-seven billion, nine hundred eighty-six million, three hundred eighty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 78 84 91 98 104 117 126 147 156 168 182 196 234 252 273 294 312 364 392 441 468 504 546 588 637 728 819 882 936 1092 1176 1274 1638 1764 1911 2184 2548 3276 3528 3822 5096 5733 6552 7644 11466 15288 22932 45864 2790563 5581126 8371689 11162252 16743378 19533941 22324504 25115067 33486756 36277319 39067882 50230134 58601823 66973512 72554638 78135764 100460268 108831957 117203646 136737587 145109276 156271528 175805469 200920536 217663914 234407292 253941233 273475174 290218552 326495871 351610938 410212761 435327828 468814584 507882466 546950348 652991742 703221876 761823699 820425522 870655656 1015764932 1093900696 1230638283 1305983484 1406443752 1523647398 1640851044 1777588631 2031529864 2285471097 2461276566 2611966968 3047294796 3281702088 3555177262 4570942194 4922553132 5332765893 6094589592 7110354524 9141884388 9845106264 10665531786 14220709048 15998297679 18283768776 21331063572 31996595358 42662127144 63993190716 127986381432