Search a number
-
+
4663530984 = 2337172935573
BaseRepresentation
bin1000101011111011…
…11101010111101000
3110001000020220211210
410111331331113220
534022330442414
62050431353120
7223365234150
oct42575752750
913030226753
104663530984
111a83494942
12aa19827a0
135942324b8
14323517760
151c4641e59
hex115f7d5e8

4663530984 has 128 divisors (see below), whose sum is σ = 14158851840. Its totient is φ = 1249554432.

The previous prime is 4663530979. The next prime is 4663531009. The reversal of 4663530984 is 4890353664.

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, 834022 + ... + 839594.

It is an arithmetic number, because the mean of its divisors is an integer number (110616030).

Almost surely, 24663530984 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 4663530984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7079425920).

4663530984 is an abundant number, since it is smaller than the sum of its proper divisors (9495320856).

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

4663530984 is a wasteful number, since it uses less digits than its factorization.

4663530984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5899 (or 5895 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The square root of 4663530984 is about 68290.0504026758. The cubic root of 4663530984 is about 1670.7249394239.

The spelling of 4663530984 in words is "four billion, six hundred sixty-three million, five hundred thirty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 293 357 408 476 586 714 879 952 1172 1428 1758 2051 2344 2856 3516 4102 4981 5573 6153 7032 8204 9962 11146 12306 14943 16408 16719 19924 22292 24612 29886 33438 34867 39011 39848 44584 49224 59772 66876 69734 78022 94741 104601 117033 119544 133752 139468 156044 189482 209202 234066 278936 284223 312088 378964 418404 468132 568446 663187 757928 836808 936264 1136892 1326374 1632889 1989561 2273784 2652748 3265778 3979122 4898667 5305496 6531556 7958244 9797334 11430223 13063112 15916488 19594668 22860446 27759113 34290669 39189336 45720892 55518226 68581338 83277339 91441784 111036452 137162676 166554678 194313791 222072904 274325352 333109356 388627582 582941373 666218712 777255164 1165882746 1554510328 2331765492 4663530984