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4664295168 = 283131727481
BaseRepresentation
bin1000101100000001…
…10111111100000000
3110001001200202002220
410112000313330000
534023024421133
62050500011040
7223404566121
oct42600677400
913031622086
104664295168
111a83966aa5
12aa2090a80
1359443c290
14323676048
151c47435b3
hex116037f00

4664295168 has 144 divisors (see below), whose sum is σ = 14155648416. Its totient is φ = 1350696960.

The previous prime is 4664295133. The next prime is 4664295187. The reversal of 4664295168 is 8615924664.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 4664295168.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155988 + ... + 183468.

It is an arithmetic number, because the mean of its divisors is an integer number (98303114).

Almost surely, 24664295168 is an apocalyptic number.

4664295168 is a gapful number since it is divisible by the number (48) 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 4664295168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7077824208).

4664295168 is an abundant number, since it is smaller than the sum of its proper divisors (9491353248).

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

4664295168 is a wasteful number, since it uses less digits than its factorization.

4664295168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27530 (or 27516 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The square root of 4664295168 is about 68295.6453077354. The cubic root of 4664295168 is about 1670.8161915631.

The spelling of 4664295168 in words is "four billion, six hundred sixty-four million, two hundred ninety-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 156 192 204 208 221 256 272 312 384 408 416 442 544 624 663 768 816 832 884 1088 1248 1326 1632 1664 1768 2176 2496 2652 3264 3328 3536 4352 4992 5304 6528 7072 9984 10608 13056 14144 21216 27481 28288 42432 54962 56576 82443 84864 109924 164886 169728 219848 329772 357253 439696 467177 659544 714506 879392 934354 1071759 1319088 1401531 1429012 1758784 1868708 2143518 2638176 2803062 2858024 3517568 3737416 4287036 5276352 5606124 5716048 6073301 7035136 7474832 8574072 10552704 11212248 11432096 12146602 14949664 17148144 18219903 21105408 22424496 22864192 24293204 29899328 34296288 36439806 44848992 45728384 48586408 59798656 68592576 72879612 89697984 91456768 97172816 119597312 137185152 145759224 179395968 194345632 274370304 291518448 358791936 388691264 583036896 777382528 1166073792 1554765056 2332147584 4664295168