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4286864013640 = 2351361390734591
BaseRepresentation
bin111110011000011101000…
…000011011100101001000
3120011211010220221110222221
4332120131000123211020
51030213444141414030
613041205205223424
7621500325615235
oct76303500334510
916154126843887
104286864013640
111403059a8299a
125929a6101b74
13251332322140
1410b6b1a3878c
15767a0304e7a
hex3e61d01b948

4286864013640 has 128 divisors (see below), whose sum is σ = 10560694072320. Its totient is φ = 1556450380800.

The previous prime is 4286864013623. The next prime is 4286864013709. The reversal of 4286864013640 is 463104686824.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 123912745 + ... + 123947335.

It is an arithmetic number, because the mean of its divisors is an integer number (82505422440).

Almost surely, 24286864013640 is an apocalyptic number.

4286864013640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4286864013640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5280347036160).

4286864013640 is an abundant number, since it is smaller than the sum of its proper divisors (6273830058680).

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

4286864013640 is a wasteful number, since it uses less digits than its factorization.

4286864013640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38583 (or 38579 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 52.

The spelling of 4286864013640 in words is "four trillion, two hundred eighty-six billion, eight hundred sixty-four million, thirteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 61 65 104 122 130 244 260 305 488 520 610 793 1220 1586 2440 3172 3907 3965 6344 7814 7930 15628 15860 19535 31256 31720 34591 39070 50791 69182 78140 101582 138364 156280 172955 203164 238327 253955 276728 345910 406328 449683 476654 507910 691820 899366 953308 1015820 1191635 1383640 1798732 1906616 2031640 2110051 2248415 2383270 3098251 3597464 4220102 4496830 4766540 6196502 8440204 8993660 9533080 10550255 12393004 15491255 16880408 17987320 21100510 24786008 27430663 30982510 42201020 54861326 61965020 84402040 109722652 123930040 135147037 137153315 219445304 270294074 274306630 540588148 548613260 675735185 1081176296 1097226520 1351470370 1756911481 2702940740 3513822962 5405881480 7027645924 8243969257 8784557405 14055291848 16487938514 17569114810 32975877028 35138229620 41219846285 65951754056 70276459240 82439692570 107171600341 164879385140 214343200682 329758770280 428686401364 535858001705 857372802728 1071716003410 2143432006820 4286864013640