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286420013496 = 23331790785999
BaseRepresentation
bin1000010101011111111…
…01101001000110111000
31000101022002210020101000
410022233331221012320
514143042010412441
6335325102525000
726456516642061
oct4125775510670
91011262706330
10286420013496
111005196a3461
1247615596760
132101754a936
14dc1175d568
1576b53942b6
hex42aff691b8

286420013496 has 128 divisors (see below), whose sum is σ = 843350400000. Its totient is φ = 89757144576.

The previous prime is 286420013483. The next prime is 286420013501. The reversal of 286420013496 is 694310024682.

286420013496 is a `hidden beast` number, since 2 + 8 + 6 + 420 + 0 + 134 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3287505 + ... + 3373503.

It is an arithmetic number, because the mean of its divisors is an integer number (6588675000).

Almost surely, 2286420013496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286420013496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421675200000).

286420013496 is an abundant number, since it is smaller than the sum of its proper divisors (556930386504).

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

286420013496 is a wasteful number, since it uses less digits than its factorization.

286420013496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86938 (or 86928 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 286420013496 in words is "two hundred eighty-six billion, four hundred twenty million, thirteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 907 918 1224 1814 1836 2721 3628 3672 5442 7256 8163 10884 15419 16326 21768 24489 30838 32652 46257 48978 61676 65304 85999 92514 97956 123352 138771 171998 185028 195912 257997 277542 343996 370056 416313 515994 555084 687992 773991 832626 1031988 1110168 1461983 1547982 1665252 2063976 2321973 2923966 3095964 3330504 4385949 4643946 5847932 6191928 8771898 9287892 11695864 13157847 17543796 18575784 26315694 35087592 39473541 52631388 78001093 78947082 105262776 156002186 157894164 234003279 312004372 315788328 468006558 624008744 702009837 936013116 1326018581 1404019674 1872026232 2106029511 2652037162 2808039348 3978055743 4212059022 5304074324 5616078696 7956111486 8424118044 10608148648 11934167229 15912222972 16848236088 23868334458 31824445944 35802501687 47736668916 71605003374 95473337832 143210006748 286420013496