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129142987809696 = 25327222289288179
BaseRepresentation
bin11101010111010001110001…
…111010011110001110100000
3121221020221121212101012102100
4131113101301322132032200
5113411334314334402241
61134355245232250400
736126162425243250
oct3527216172361640
9557227555335370
10129142987809696
1138170262960093
12125989393a0a00
13570a192b85383
1423c67a80d5960
15ede48aeda9b6
hex757471e9e3a0

129142987809696 has 144 divisors (see below), whose sum is σ = 419718054974400. Its totient is φ = 36897702488064.

The previous prime is 129142987809677. The next prime is 129142987809827. The reversal of 129142987809696 is 696908789241921.

129142987809696 is a `hidden beast` number, since 1 + 2 + 91 + 4 + 298 + 78 + 0 + 96 + 96 = 666.

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

It is a super-2 number, since 2×1291429878096962 (a number of 29 digits) contains 22 as substring.

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, 447990535 + ... + 448278713.

It is an arithmetic number, because the mean of its divisors is an integer number (2914708715100).

Almost surely, 2129142987809696 is an apocalyptic number.

129142987809696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

129142987809696 is an abundant number, since it is smaller than the sum of its proper divisors (290575067164704).

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

129142987809696 is a wasteful number, since it uses less digits than its factorization.

129142987809696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510491 (or 510480 counting only the distinct ones).

The product of its (nonzero) digits is 1693052928, while the sum is 81.

The spelling of 129142987809696 in words is "one hundred twenty-nine trillion, one hundred forty-two billion, nine hundred eighty-seven million, eight hundred nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 222289 288179 444578 576358 666867 864537 889156 1152716 1333734 1556023 1729074 1778312 2000601 2017253 2305432 2593611 2667468 3112046 3458148 3556624 4001202 4034506 4610864 4668069 5187222 5334936 6051759 6224092 6916296 7113248 8002404 8069012 9221728 9336138 10374444 10669872 12103518 12448184 13832592 14004207 16004808 16138024 18155277 18672276 20748888 21339744 24207036 24896368 27665184 28008414 32009616 32276048 36310554 37344552 41497776 48414072 49792736 56016828 64019232 64552096 72621108 74689104 82995552 96828144 112033656 145242216 149378208 193656288 224067312 290484432 448134624 580968864 64059021731 128118043462 192177065193 256236086924 384354130386 448413152117 512472173848 576531195579 768708260772 896826304234 1024944347696 1153062391158 1345239456351 1537416521544 1793652608468 2049888695392 2306124782316 2690478912702 3074833043088 3587305216936 4035718369053 4612249564632 5380957825404 6149666086176 7174610433872 8071436738106 9224499129264 10761915650808 14349220867744 16142873476212 18448998258528 21523831301616 32285746952424 43047662603232 64571493904848 129142987809696