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4668145350 = 23521112722277
BaseRepresentation
bin1000101100011111…
…00011111011000110
3110001022221100120020
410112033203323012
534030021122400
62051114320010
7223452403131
oct42617437306
913038840506
104668145350
111a86056770
12aa3429006
135951898ab
14323d99218
151c4c542a0
hex1163e3ec6

4668145350 has 96 divisors (see below), whose sum is σ = 12729470976. Its totient is φ = 1122710400.

The previous prime is 4668145309. The next prime is 4668145357. The reversal of 4668145350 is 535418664.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4668145357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198412 + ... + 220688.

It is an arithmetic number, because the mean of its divisors is an integer number (132598656).

Almost surely, 24668145350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4668145350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6364735488).

4668145350 is an abundant number, since it is smaller than the sum of its proper divisors (8061325626).

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

4668145350 is a wasteful number, since it uses less digits than its factorization.

4668145350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22430 (or 22425 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 4668145350 is about 68323.8271029953. The cubic root of 4668145350 is about 1671.2757949231.

The spelling of 4668145350 in words is "four billion, six hundred sixty-eight million, one hundred forty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 127 150 165 254 275 330 381 550 635 762 825 1270 1397 1650 1905 2794 3175 3810 4191 6350 6985 8382 9525 13970 19050 20955 22277 34925 41910 44554 66831 69850 104775 111385 133662 209550 222770 245047 334155 490094 556925 668310 735141 1113850 1225235 1470282 1670775 2450470 2829179 3341550 3675705 5658358 6126175 7351410 8487537 12252350 14145895 16975074 18378525 28291790 31120969 36757050 42437685 62241938 70729475 84875370 93362907 141458950 155604845 186725814 212188425 311209690 424376850 466814535 778024225 933629070 1556048450 2334072675 4668145350