Search a number
-
+
4468369068 = 22322329379491
BaseRepresentation
bin1000010100101010…
…11110011010101100
3102112102000200000200
410022111132122230
533122400302233
62015220353500
7215505340032
oct41225363254
912472020020
104468369068
1119933068a9
12a48545890
13562980387
14305634552
151b2441313
hex10a55e6ac

4468369068 has 144 divisors (see below), whose sum is σ = 12249619200. Its totient is φ = 1369146240.

The previous prime is 4468369049. The next prime is 4468369069. The reversal of 4468369068 is 8609638644.

4468369068 is a `hidden beast` number, since 4 + 468 + 36 + 90 + 68 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4468369069) 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, 9100303 + ... + 9100793.

It is an arithmetic number, because the mean of its divisors is an integer number (85066800).

Almost surely, 24468369068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4468369068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6124809600).

4468369068 is an abundant number, since it is smaller than the sum of its proper divisors (7781250132).

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

4468369068 is a wasteful number, since it uses less digits than its factorization.

4468369068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The square root of 4468369068 is about 66845.8605150685. The cubic root of 4468369068 is about 1647.0862648260.

The spelling of 4468369068 in words is "four billion, four hundred sixty-eight million, three hundred sixty-nine thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 29 36 46 58 69 87 92 116 138 174 207 261 276 348 379 414 491 522 667 758 828 982 1044 1137 1334 1473 1516 1964 2001 2274 2668 2946 3411 4002 4419 4548 5892 6003 6822 8004 8717 8838 10991 11293 12006 13644 14239 17434 17676 21982 22586 24012 26151 28478 32973 33879 34868 42717 43964 45172 52302 56956 65946 67758 78453 85434 98919 101637 104604 128151 131892 135516 156906 170868 186089 197838 203274 252793 256302 313812 327497 372178 395676 406548 505586 512604 558267 654994 744356 758379 982491 1011172 1116534 1309988 1516758 1674801 1964982 2233068 2275137 2947473 3033516 3349602 3929964 4280047 4550274 5396581 5894946 6699204 8560094 9100548 10793162 11789892 12840141 16189743 17120188 21586324 25680282 32379486 38520423 48569229 51360564 64758972 77040846 97138458 124121363 154081692 194276916 248242726 372364089 496485452 744728178 1117092267 1489456356 2234184534 4468369068