Search a number
-
+
5693418288 = 243389373397
BaseRepresentation
bin1010100110101101…
…01010101100110000
3112200210011121122000
411103112222230300
543130003341123
62340541414000
7261042154065
oct52326525460
915623147560
105693418288
112461871478
12112a86a300
136c970527c
143c0204c6c
15234c78b43
hex1535aab30

5693418288 has 160 divisors (see below), whose sum is σ = 16611883200. Its totient is φ = 1866737664.

The previous prime is 5693418281. The next prime is 5693418299. The reversal of 5693418288 is 8828143965.

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 a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3317760) is a multiple of the sum of its prime divisors (864).

It is not an unprimeable number, because it can be changed into a prime (5693418281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14340906 + ... + 14341302.

It is an arithmetic number, because the mean of its divisors is an integer number (103824270).

Almost surely, 25693418288 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 5693418288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8305941600).

5693418288 is an abundant number, since it is smaller than the sum of its proper divisors (10918464912).

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

5693418288 is a wasteful number, since it uses less digits than its factorization.

5693418288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 864 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 5693418288 is about 75454.7433101459. The cubic root of 5693418288 is about 1785.6281780297.

The spelling of 5693418288 in words is "five billion, six hundred ninety-three million, four hundred eighteen thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 89 108 144 178 216 267 356 373 397 432 534 712 746 794 801 1068 1119 1191 1424 1492 1588 1602 2136 2238 2382 2403 2984 3176 3204 3357 3573 4272 4476 4764 4806 5968 6352 6408 6714 7146 8952 9528 9612 10071 10719 12816 13428 14292 17904 19056 19224 20142 21438 26856 28584 33197 35333 38448 40284 42876 53712 57168 66394 70666 80568 85752 99591 105999 132788 141332 148081 161136 171504 199182 211998 265576 282664 296162 298773 317997 398364 423996 444243 531152 565328 592324 597546 635994 796728 847992 888486 896319 953991 1184648 1195092 1271988 1332729 1593456 1695984 1776972 1792638 1907982 2369296 2390184 2543976 2665458 3553944 3585276 3815964 3998187 4780368 5087952 5330916 7107888 7170552 7631928 7996374 10661832 13179209 14341104 15263856 15992748 21323664 26358418 31985496 39537627 52716836 63970992 79075254 105433672 118612881 158150508 210867344 237225762 316301016 355838643 474451524 632602032 711677286 948903048 1423354572 1897806096 2846709144 5693418288