Search a number
-
+
4933859968 = 27414783241
BaseRepresentation
bin1001001100001010…
…01011101010000000
3110201211221001111101
410212011023222000
540101032004333
62133325424144
7233160055252
oct44605135200
913654831441
104933859968
112102043024
12b5840b054
13608241c8b
1434b3a5cd2
151dd23e67d
hex12614ba80

4933859968 has 128 divisors (see below), whose sum is σ = 10450218240. Its totient is φ = 2317516800.

The previous prime is 4933859951. The next prime is 4933859971. The reversal of 4933859968 is 8699583394.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×49338599682 = 48685948367665922048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20472328 + ... + 20472568.

It is an arithmetic number, because the mean of its divisors is an integer number (81642330).

Almost surely, 24933859968 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 4933859968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225109120).

4933859968 is an abundant number, since it is smaller than the sum of its proper divisors (5516358272).

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

4933859968 is a wasteful number, since it uses less digits than its factorization.

4933859968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 414 counting only the distinct ones).

The product of its digits is 50388480, while the sum is 64.

The square root of 4933859968 is about 70241.4405319253. The cubic root of 4933859968 is about 1702.4025968312.

The spelling of 4933859968 in words is "four billion, nine hundred thirty-three million, eight hundred fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 41 47 64 82 83 94 128 164 166 188 241 328 332 376 482 656 664 752 964 1312 1328 1504 1927 1928 2624 2656 3008 3403 3854 3856 3901 5248 5312 6016 6806 7708 7712 7802 9881 10624 11327 13612 15416 15424 15604 19762 20003 22654 27224 30832 30848 31208 39524 40006 45308 54448 61664 62416 79048 80012 90616 108896 123328 124832 158096 159941 160024 181232 217792 246656 249664 316192 319882 320048 362464 435584 464407 499328 632384 639764 640096 724928 820123 928814 940141 1264768 1279528 1280192 1449856 1640246 1857628 1880282 2559056 2560384 3280492 3715256 3760564 5118112 6560984 7430512 7521128 10236224 13121968 14861024 15042256 20472448 26243936 29722048 30084512 38545781 52487872 59444096 60169024 77091562 104975744 120338048 154183124 308366248 616732496 1233464992 2466929984 4933859968