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4261164030 = 233541735273
BaseRepresentation
bin1111110111111100…
…0011001111111110
3101222222010120011000
43331333003033332
532211324222110
61542455311130
7210411203514
oct37577031776
911888116130
104261164030
111897352672
129ab07b4a6
1352ba72746
142c5cd84b4
1519e1621c0
hexfdfc33fe

4261164030 has 128 divisors (see below), whose sum is σ = 11801946240. Its totient is φ = 1093201920.

The previous prime is 4261164001. The next prime is 4261164049. The reversal of 4261164030 is 304611624.

4261164030 is a `hidden beast` number, since 4 + 2 + 6 + 11 + 640 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4261163985 and 4261164003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 805474 + ... + 810746.

It is an arithmetic number, because the mean of its divisors is an integer number (92202705).

Almost surely, 24261164030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4261164030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5900973120).

4261164030 is an abundant number, since it is smaller than the sum of its proper divisors (7540782210).

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

4261164030 is a wasteful number, since it uses less digits than its factorization.

4261164030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5403 (or 5397 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4261164030 is about 65277.5920971354. The cubic root of 4261164030 is about 1621.2229791160. Note that the first 3 decimals are identical.

Adding to 4261164030 its reverse (304611624), we get a palindrome (4565775654).

The spelling of 4261164030 in words is "four billion, two hundred sixty-one million, one hundred sixty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 73 82 90 123 135 146 205 219 246 270 365 369 410 438 615 657 730 738 1095 1107 1230 1314 1845 1971 2190 2214 2993 3285 3690 3942 5273 5535 5986 6570 8979 9855 10546 11070 14965 15819 17958 19710 26365 26937 29930 31638 44895 47457 52730 53874 79095 80811 89790 94914 134685 142371 158190 161622 216193 237285 269370 284742 384929 404055 432386 474570 648579 711855 769858 808110 1080965 1154787 1297158 1423710 1924645 1945737 2161930 2309574 3242895 3464361 3849290 3891474 5773935 5837211 6485790 6928722 9728685 10393083 11547870 11674422 15782089 17321805 19457370 20786166 29186055 31564178 34643610 47346267 51965415 58372110 78910445 94692534 103930830 142038801 157820890 236731335 284077602 426116403 473462670 710194005 852232806 1420388010 2130582015 4261164030