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86429154128 = 24107271311599
BaseRepresentation
bin101000001111110010…
…1000011101101010000
322021002101200221110112
41100133211003231100
52404001330413003
6103412140420452
76146536455122
oct1203745035520
9267071627415
1086429154128
11337220057a9
1214900b47728
1381c50ac125
14427c97b212
1523acb283d8
hex141f943b50

86429154128 has 80 divisors (see below), whose sum is σ = 170474803200. Its totient is φ = 42444604800.

The previous prime is 86429154089. The next prime is 86429154143. The reversal of 86429154128 is 82145192468.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144288773 + ... + 144289371.

It is an arithmetic number, because the mean of its divisors is an integer number (2130935040).

Almost surely, 286429154128 is an apocalyptic number.

It is an amenable number.

86429154128 is a deficient number, since it is larger than the sum of its proper divisors (84045649072).

86429154128 is a wasteful number, since it uses less digits than its factorization.

86429154128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1290 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 50.

The spelling of 86429154128 in words is "eighty-six billion, four hundred twenty-nine million, one hundred fifty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 107 214 271 311 428 542 599 622 856 1084 1198 1244 1712 2168 2396 2488 4336 4792 4976 9584 28997 33277 57994 64093 66554 84281 115988 128186 133108 162329 168562 186289 231976 256372 266216 324658 337124 372578 463952 512744 532432 649316 674248 745156 1025488 1298632 1348496 1490312 2597264 2980624 9018067 17369203 18036134 19932923 34738406 36072268 39865846 50484319 69476812 72144536 79731692 100968638 138953624 144289072 159463384 201937276 277907248 318926768 403874552 807749104 5401822133 10803644266 21607288532 43214577064 86429154128