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4284160489960 = 2351367297141389
BaseRepresentation
bin111110010101111011110…
…111010011100111101000
3120011120011111210020201021
4332111323313103213220
51030142430041134320
613040041031302224
7621343330215061
oct76257367234750
916146144706637
104284160489960
1114019a19aa5aa
1259237081a974
13250cc11a38a0
1410b4d6969568
1576692cc5daa
hex3e57bdd39e8

4284160489960 has 128 divisors (see below), whose sum is σ = 10539589334400. Its totient is φ = 1557672145920.

The previous prime is 4284160489957. The next prime is 4284160489967. The reversal of 4284160489960 is 699840614824.

It is a super-2 number, since 2×42841604899602 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4284160489967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103488946 + ... + 103530334.

It is an arithmetic number, because the mean of its divisors is an integer number (82340541675).

Almost surely, 24284160489960 is an apocalyptic number.

4284160489960 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 4284160489960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5269794667200).

4284160489960 is an abundant number, since it is smaller than the sum of its proper divisors (6255428844440).

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

4284160489960 is a wasteful number, since it uses less digits than its factorization.

4284160489960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44451 (or 44447 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 61.

The spelling of 4284160489960 in words is "four trillion, two hundred eighty-four billion, one hundred sixty million, four hundred eighty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 67 104 130 134 260 268 335 520 536 670 871 1340 1742 2680 2971 3484 4355 5942 6968 8710 11884 14855 17420 23768 29710 34840 38623 41389 59420 77246 82778 118840 154492 165556 193115 199057 206945 308984 331112 386230 398114 413890 538057 772460 796228 827780 995285 1076114 1544920 1592456 1655560 1990570 2152228 2587741 2690285 2773063 3981140 4304456 5175482 5380570 5546126 7962280 10350964 10761140 11092252 12938705 13865315 20701928 21522280 22184504 25877410 27730630 36049819 51754820 55461260 72099638 103509640 110922520 122966719 144199276 180249095 245933438 288398552 360498190 491866876 614833595 720996380 983733752 1229667190 1441992760 1598567347 2459334380 3197134694 4918668760 6394269388 7992836735 8238770173 12788538776 15985673470 16477540346 31971346940 32955080692 41193850865 63942693880 65910161384 82387701730 107104012249 164775403460 214208024498 329550806920 428416048996 535520061245 856832097992 1071040122490 2142080244980 4284160489960