Search a number
-
+
5668888356 = 223461972957
BaseRepresentation
bin1010100011110010…
…00101111100100100
3112122002000100220000
411101321011330210
543102213411411
62334303541300
7260323520205
oct52171057444
915562010800
105668888356
112449a377aa
1211225ba830
136c45c7011
143bac5b5ac
15232a30956
hex151e45f24

5668888356 has 120 divisors (see below), whose sum is σ = 15222968376. Its totient is φ = 1838868480.

The previous prime is 5668888349. The next prime is 5668888373. The reversal of 5668888356 is 6538888665.

It can be written as a sum of positive squares in 4 ways, for example, as 61873956 + 5607014400 = 7866^2 + 74880^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5668888293 and 5668888302.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1915630 + ... + 1918586.

Almost surely, 25668888356 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 5668888356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7611484188).

5668888356 is an abundant number, since it is smaller than the sum of its proper divisors (9554080020).

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

5668888356 is a wasteful number, since it uses less digits than its factorization.

5668888356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3131 (or 3120 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 63.

The square root of 5668888356 is about 75292.0205333872. The cubic root of 5668888356 is about 1783.0600433767.

The spelling of 5668888356 in words is "five billion, six hundred sixty-eight million, eight hundred eighty-eight thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 97 108 122 162 183 194 244 291 324 366 388 549 582 732 873 1098 1164 1647 1746 2196 2619 2957 3294 3492 4941 5238 5914 5917 6588 7857 8871 9882 10476 11828 11834 15714 17742 17751 19764 23668 26613 31428 35484 35502 53226 53253 71004 79839 106452 106506 159678 159759 180377 213012 239517 286829 319356 319518 360754 479034 479277 541131 573658 639036 721508 860487 958068 958554 1082262 1147316 1623393 1720974 1917108 2164524 2581461 3246786 3441948 4870179 5162922 6493572 7744383 9740358 10325844 14610537 15488766 17496569 19480716 23233149 29221074 30977532 34993138 46466298 52489707 58442148 69986276 92932596 104979414 157469121 209958828 314938242 472407363 629876484 944814726 1417222089 1889629452 2834444178 5668888356