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4268606341164 = 2231173456796997
BaseRepresentation
bin111110000111011100110…
…000111100000000101100
3120010002000111220121210020
4332013130300330000230
51024414101210404124
613024545400042140
7620253021144354
oct76073460740054
916102014817706
104268606341164
1113a633aaa7380
1258b34b763350
1324c6b28c3b49
1410a85ccd5b64
15760824ee379
hex3e1dcc3c02c

4268606341164 has 96 divisors (see below), whose sum is σ = 11016911786496. Its totient is φ = 1275505159680.

The previous prime is 4268606341159. The next prime is 4268606341193. The reversal of 4268606341164 is 4611436068624.

It is a super-3 number, since 3×42686063411643 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 43959114 + ... + 44056110.

It is an arithmetic number, because the mean of its divisors is an integer number (114759497776).

Almost surely, 24268606341164 is an apocalyptic number.

4268606341164 is a gapful number since it is divisible by the number (44) 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 4268606341164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5508455893248).

4268606341164 is an abundant number, since it is smaller than the sum of its proper divisors (6748305445332).

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

4268606341164 is a wasteful number, since it uses less digits than its factorization.

4268606341164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101655 (or 101653 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 51.

The spelling of 4268606341164 in words is "four trillion, two hundred sixty-eight billion, six hundred six million, three hundred forty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 73 132 146 219 292 438 803 876 1606 2409 3212 4567 4818 9134 9636 13701 18268 27402 50237 54804 96997 100474 150711 193994 200948 290991 301422 333391 387988 581982 602844 666782 1000173 1066967 1163964 1333564 2000346 2133934 3200901 3667301 4000692 4267868 6401802 7080781 7334602 11001903 12803604 14161562 14669204 21242343 22003806 28323124 42484686 44007612 77888591 84969372 155777182 233665773 311554364 442985299 467331546 885970598 934663092 1328955897 1771941196 2657911794 4872838289 5315823588 9745676578 14618514867 19491353156 29237029734 32337926827 58474059468 64675853654 97013780481 129351707308 194027560962 355717195097 388055121924 711434390194 1067151585291 1422868780388 2134303170582 4268606341164